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Finding the Third Proportional to 63,755 and 140,092

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Solution

The third proportional to 63,755 and 140,092 is: 307,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,755 : 140,092 = 140,092 : x
  2. Step 2: Convert to fraction form
    63,755/140,092 = 140,092/x
  3. Step 3: Cross multiply
    63,755x = 140,092 × 140,092
  4. Step 4: Simplify right side
    63,755x = 19,625,768,464
  5. Step 5: Solve for x
    x = 19,625,768,464/63,755
  6. Step 6: Final answer
    x = 307,831.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.