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Finding the Third Proportional to 62,785.13 and 137,553.19

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Solution

The third proportional to 62,785.13 and 137,553.19 is: 301,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,785.13 : 137,553.19 = 137,553.19 : x
  2. Step 2: Convert to fraction form
    62,785.13/137,553.19 = 137,553.19/x
  3. Step 3: Cross multiply
    62,785.13x = 137,553.19 × 137,553.19
  4. Step 4: Simplify right side
    62,785.13x = 18,920,879,391.41
  5. Step 5: Solve for x
    x = 18,920,879,391.41/62,785.13
  6. Step 6: Final answer
    x = 301,359.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.