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Finding the Third Proportional to 82,569 and 126,519

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Solution

The third proportional to 82,569 and 126,519 is: 193,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,569 : 126,519 = 126,519 : x
  2. Step 2: Convert to fraction form
    82,569/126,519 = 126,519/x
  3. Step 3: Cross multiply
    82,569x = 126,519 × 126,519
  4. Step 4: Simplify right side
    82,569x = 16,007,057,361
  5. Step 5: Solve for x
    x = 16,007,057,361/82,569
  6. Step 6: Final answer
    x = 193,862.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.