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Finding the Third Proportional to 81,582 and 165,459

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Solution

The third proportional to 81,582 and 165,459 is: 335,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,582 : 165,459 = 165,459 : x
  2. Step 2: Convert to fraction form
    81,582/165,459 = 165,459/x
  3. Step 3: Cross multiply
    81,582x = 165,459 × 165,459
  4. Step 4: Simplify right side
    81,582x = 27,376,680,681
  5. Step 5: Solve for x
    x = 27,376,680,681/81,582
  6. Step 6: Final answer
    x = 335,572.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.