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Finding the Third Proportional to 82,029 and 176,862

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Solution

The third proportional to 82,029 and 176,862 is: 381,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029 : 176,862 = 176,862 : x
  2. Step 2: Convert to fraction form
    82,029/176,862 = 176,862/x
  3. Step 3: Cross multiply
    82,029x = 176,862 × 176,862
  4. Step 4: Simplify right side
    82,029x = 31,280,167,044
  5. Step 5: Solve for x
    x = 31,280,167,044/82,029
  6. Step 6: Final answer
    x = 381,330.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.