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Finding the Third Proportional to 63,727 and 101,215

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Solution

The third proportional to 63,727 and 101,215 is: 160,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,727 : 101,215 = 101,215 : x
  2. Step 2: Convert to fraction form
    63,727/101,215 = 101,215/x
  3. Step 3: Cross multiply
    63,727x = 101,215 × 101,215
  4. Step 4: Simplify right side
    63,727x = 10,244,476,225
  5. Step 5: Solve for x
    x = 10,244,476,225/63,727
  6. Step 6: Final answer
    x = 160,755.66

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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.