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Finding the Third Proportional to 89,677.13 and 140,691.94

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Solution

The third proportional to 89,677.13 and 140,691.94 is: 220,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,677.13 : 140,691.94 = 140,691.94 : x
  2. Step 2: Convert to fraction form
    89,677.13/140,691.94 = 140,691.94/x
  3. Step 3: Cross multiply
    89,677.13x = 140,691.94 × 140,691.94
  4. Step 4: Simplify right side
    89,677.13x = 19,794,221,277.50
  5. Step 5: Solve for x
    x = 19,794,221,277.50/89,677.13
  6. Step 6: Final answer
    x = 220,727.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.