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Finding the Third Proportional to 82,377 and 170,586

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Solution

The third proportional to 82,377 and 170,586 is: 353,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377 : 170,586 = 170,586 : x
  2. Step 2: Convert to fraction form
    82,377/170,586 = 170,586/x
  3. Step 3: Cross multiply
    82,377x = 170,586 × 170,586
  4. Step 4: Simplify right side
    82,377x = 29,099,583,396
  5. Step 5: Solve for x
    x = 29,099,583,396/82,377
  6. Step 6: Final answer
    x = 353,248.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.