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Finding the Third Proportional to 63,722 and 95,607

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Solution

The third proportional to 63,722 and 95,607 is: 143,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,722 : 95,607 = 95,607 : x
  2. Step 2: Convert to fraction form
    63,722/95,607 = 95,607/x
  3. Step 3: Cross multiply
    63,722x = 95,607 × 95,607
  4. Step 4: Simplify right side
    63,722x = 9,140,698,449
  5. Step 5: Solve for x
    x = 9,140,698,449/63,722
  6. Step 6: Final answer
    x = 143,446.51

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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.