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Finding the Third Proportional to 82,029 and 179,394

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Solution

The third proportional to 82,029 and 179,394 is: 392,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029 : 179,394 = 179,394 : x
  2. Step 2: Convert to fraction form
    82,029/179,394 = 179,394/x
  3. Step 3: Cross multiply
    82,029x = 179,394 × 179,394
  4. Step 4: Simplify right side
    82,029x = 32,182,207,236
  5. Step 5: Solve for x
    x = 32,182,207,236/82,029
  6. Step 6: Final answer
    x = 392,327.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.