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Finding the Third Proportional to 71,047.13 and 155,451.66

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Solution

The third proportional to 71,047.13 and 155,451.66 is: 340,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.13 : 155,451.66 = 155,451.66 : x
  2. Step 2: Convert to fraction form
    71,047.13/155,451.66 = 155,451.66/x
  3. Step 3: Cross multiply
    71,047.13x = 155,451.66 × 155,451.66
  4. Step 4: Simplify right side
    71,047.13x = 24,165,217,430.87
  5. Step 5: Solve for x
    x = 24,165,217,430.87/71,047.13
  6. Step 6: Final answer
    x = 340,129.42

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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.