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Finding the Third Proportional to 64,713 and 132,561

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Solution

The third proportional to 64,713 and 132,561 is: 271,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713 : 132,561 = 132,561 : x
  2. Step 2: Convert to fraction form
    64,713/132,561 = 132,561/x
  3. Step 3: Cross multiply
    64,713x = 132,561 × 132,561
  4. Step 4: Simplify right side
    64,713x = 17,572,418,721
  5. Step 5: Solve for x
    x = 17,572,418,721/64,713
  6. Step 6: Final answer
    x = 271,543.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.