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Finding the Third Proportional to 63,731 and 101,249

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Solution

The third proportional to 63,731 and 101,249 is: 160,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,731 : 101,249 = 101,249 : x
  2. Step 2: Convert to fraction form
    63,731/101,249 = 101,249/x
  3. Step 3: Cross multiply
    63,731x = 101,249 × 101,249
  4. Step 4: Simplify right side
    63,731x = 10,251,360,001
  5. Step 5: Solve for x
    x = 10,251,360,001/63,731
  6. Step 6: Final answer
    x = 160,853.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.