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Finding the Third Proportional to 122,052.50 and 257,226.50

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Solution

The third proportional to 122,052.50 and 257,226.50 is: 542,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,052.50 : 257,226.50 = 257,226.50 : x
  2. Step 2: Convert to fraction form
    122,052.50/257,226.50 = 257,226.50/x
  3. Step 3: Cross multiply
    122,052.50x = 257,226.50 × 257,226.50
  4. Step 4: Simplify right side
    122,052.50x = 66,165,472,302.25
  5. Step 5: Solve for x
    x = 66,165,472,302.25/122,052.50
  6. Step 6: Final answer
    x = 542,106.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.