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Finding the Third Proportional to 42,073 and 89,339

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Solution

The third proportional to 42,073 and 89,339 is: 189,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,073 : 89,339 = 89,339 : x
  2. Step 2: Convert to fraction form
    42,073/89,339 = 89,339/x
  3. Step 3: Cross multiply
    42,073x = 89,339 × 89,339
  4. Step 4: Simplify right side
    42,073x = 7,981,456,921
  5. Step 5: Solve for x
    x = 7,981,456,921/42,073
  6. Step 6: Final answer
    x = 189,704.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.