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Finding the Third Proportional to 82,272 and 170,376

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Solution

The third proportional to 82,272 and 170,376 is: 352,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,272 : 170,376 = 170,376 : x
  2. Step 2: Convert to fraction form
    82,272/170,376 = 170,376/x
  3. Step 3: Cross multiply
    82,272x = 170,376 × 170,376
  4. Step 4: Simplify right side
    82,272x = 29,027,981,376
  5. Step 5: Solve for x
    x = 29,027,981,376/82,272
  6. Step 6: Final answer
    x = 352,829.41

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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.