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Finding the Third Proportional to 73,279.69 and 102,082.78

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Solution

The third proportional to 73,279.69 and 102,082.78 is: 142,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,279.69 : 102,082.78 = 102,082.78 : x
  2. Step 2: Convert to fraction form
    73,279.69/102,082.78 = 102,082.78/x
  3. Step 3: Cross multiply
    73,279.69x = 102,082.78 × 102,082.78
  4. Step 4: Simplify right side
    73,279.69x = 10,420,894,227.74
  5. Step 5: Solve for x
    x = 10,420,894,227.74/73,279.69
  6. Step 6: Final answer
    x = 142,207.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.