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Finding the Third Proportional to 63,885 and 95,980

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Solution

The third proportional to 63,885 and 95,980 is: 144,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,885 : 95,980 = 95,980 : x
  2. Step 2: Convert to fraction form
    63,885/95,980 = 95,980/x
  3. Step 3: Cross multiply
    63,885x = 95,980 × 95,980
  4. Step 4: Simplify right side
    63,885x = 9,212,160,400
  5. Step 5: Solve for x
    x = 9,212,160,400/63,885
  6. Step 6: Final answer
    x = 144,199.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.