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Finding the Third Proportional to 71,743.13 and 90,966.75

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Solution

The third proportional to 71,743.13 and 90,966.75 is: 115,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.13 : 90,966.75 = 90,966.75 : x
  2. Step 2: Convert to fraction form
    71,743.13/90,966.75 = 90,966.75/x
  3. Step 3: Cross multiply
    71,743.13x = 90,966.75 × 90,966.75
  4. Step 4: Simplify right side
    71,743.13x = 8,274,949,605.56
  5. Step 5: Solve for x
    x = 8,274,949,605.56/71,743.13
  6. Step 6: Final answer
    x = 115,341.36

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.