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Finding the Third Proportional to 122,144.63 and 178,841.25

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Solution

The third proportional to 122,144.63 and 178,841.25 is: 261,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,144.63 : 178,841.25 = 178,841.25 : x
  2. Step 2: Convert to fraction form
    122,144.63/178,841.25 = 178,841.25/x
  3. Step 3: Cross multiply
    122,144.63x = 178,841.25 × 178,841.25
  4. Step 4: Simplify right side
    122,144.63x = 31,984,192,701.56
  5. Step 5: Solve for x
    x = 31,984,192,701.56/122,144.63
  6. Step 6: Final answer
    x = 261,855.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.