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Finding the Third Proportional to 39,150 and 83,376

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Solution

The third proportional to 39,150 and 83,376 is: 177,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 83,376 = 83,376 : x
  2. Step 2: Convert to fraction form
    39,150/83,376 = 83,376/x
  3. Step 3: Cross multiply
    39,150x = 83,376 × 83,376
  4. Step 4: Simplify right side
    39,150x = 6,951,557,376
  5. Step 5: Solve for x
    x = 6,951,557,376/39,150
  6. Step 6: Final answer
    x = 177,562.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.