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Finding the Third Proportional to 122,144 and 174,340

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Solution

The third proportional to 122,144 and 174,340 is: 248,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,144 : 174,340 = 174,340 : x
  2. Step 2: Convert to fraction form
    122,144/174,340 = 174,340/x
  3. Step 3: Cross multiply
    122,144x = 174,340 × 174,340
  4. Step 4: Simplify right side
    122,144x = 30,394,435,600
  5. Step 5: Solve for x
    x = 30,394,435,600/122,144
  6. Step 6: Final answer
    x = 248,841.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.