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Finding the Third Proportional to 71,542.69 and 155,386.69

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Solution

The third proportional to 71,542.69 and 155,386.69 is: 337,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542.69 : 155,386.69 = 155,386.69 : x
  2. Step 2: Convert to fraction form
    71,542.69/155,386.69 = 155,386.69/x
  3. Step 3: Cross multiply
    71,542.69x = 155,386.69 × 155,386.69
  4. Step 4: Simplify right side
    71,542.69x = 24,145,022,652.22
  5. Step 5: Solve for x
    x = 24,145,022,652.22/71,542.69
  6. Step 6: Final answer
    x = 337,491.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.