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Finding the Third Proportional to 81,366 and 176,264

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Solution

The third proportional to 81,366 and 176,264 is: 381,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366 : 176,264 = 176,264 : x
  2. Step 2: Convert to fraction form
    81,366/176,264 = 176,264/x
  3. Step 3: Cross multiply
    81,366x = 176,264 × 176,264
  4. Step 4: Simplify right side
    81,366x = 31,068,997,696
  5. Step 5: Solve for x
    x = 31,068,997,696/81,366
  6. Step 6: Final answer
    x = 381,842.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.