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Finding the Third Proportional to 63,962 and 95,951

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Solution

The third proportional to 63,962 and 95,951 is: 143,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,962 : 95,951 = 95,951 : x
  2. Step 2: Convert to fraction form
    63,962/95,951 = 95,951/x
  3. Step 3: Cross multiply
    63,962x = 95,951 × 95,951
  4. Step 4: Simplify right side
    63,962x = 9,206,594,401
  5. Step 5: Solve for x
    x = 9,206,594,401/63,962
  6. Step 6: Final answer
    x = 143,938.50

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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.