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Finding the Third Proportional to 63,966 and 95,957

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Solution

The third proportional to 63,966 and 95,957 is: 143,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,966 : 95,957 = 95,957 : x
  2. Step 2: Convert to fraction form
    63,966/95,957 = 95,957/x
  3. Step 3: Cross multiply
    63,966x = 95,957 × 95,957
  4. Step 4: Simplify right side
    63,966x = 9,207,745,849
  5. Step 5: Solve for x
    x = 9,207,745,849/63,966
  6. Step 6: Final answer
    x = 143,947.50

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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.