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Finding the Third Proportional to 63,887 and 95,983

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Solution

The third proportional to 63,887 and 95,983 is: 144,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,887 : 95,983 = 95,983 : x
  2. Step 2: Convert to fraction form
    63,887/95,983 = 95,983/x
  3. Step 3: Cross multiply
    63,887x = 95,983 × 95,983
  4. Step 4: Simplify right side
    63,887x = 9,212,736,289
  5. Step 5: Solve for x
    x = 9,212,736,289/63,887
  6. Step 6: Final answer
    x = 144,203.61

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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.