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Finding the Third Proportional to 71,830.13 and 156,097.13

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Solution

The third proportional to 71,830.13 and 156,097.13 is: 339,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.13 : 156,097.13 = 156,097.13 : x
  2. Step 2: Convert to fraction form
    71,830.13/156,097.13 = 156,097.13/x
  3. Step 3: Cross multiply
    71,830.13x = 156,097.13 × 156,097.13
  4. Step 4: Simplify right side
    71,830.13x = 24,366,312,433.27
  5. Step 5: Solve for x
    x = 24,366,312,433.27/71,830.13
  6. Step 6: Final answer
    x = 339,221.36

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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.