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Finding the Third Proportional to 82,082 and 176,424

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Solution

The third proportional to 82,082 and 176,424 is: 379,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082 : 176,424 = 176,424 : x
  2. Step 2: Convert to fraction form
    82,082/176,424 = 176,424/x
  3. Step 3: Cross multiply
    82,082x = 176,424 × 176,424
  4. Step 4: Simplify right side
    82,082x = 31,125,427,776
  5. Step 5: Solve for x
    x = 31,125,427,776/82,082
  6. Step 6: Final answer
    x = 379,199.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.