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Finding the Third Proportional to 71,918.25 and 156,384.38

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Solution

The third proportional to 71,918.25 and 156,384.38 is: 340,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,918.25 : 156,384.38 = 156,384.38 : x
  2. Step 2: Convert to fraction form
    71,918.25/156,384.38 = 156,384.38/x
  3. Step 3: Cross multiply
    71,918.25x = 156,384.38 × 156,384.38
  4. Step 4: Simplify right side
    71,918.25x = 24,456,072,744.14
  5. Step 5: Solve for x
    x = 24,456,072,744.14/71,918.25
  6. Step 6: Final answer
    x = 340,053.78

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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.