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Finding the Third Proportional to 60,708 and 95,031

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Solution

The third proportional to 60,708 and 95,031 is: 148,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,708 : 95,031 = 95,031 : x
  2. Step 2: Convert to fraction form
    60,708/95,031 = 95,031/x
  3. Step 3: Cross multiply
    60,708x = 95,031 × 95,031
  4. Step 4: Simplify right side
    60,708x = 9,030,890,961
  5. Step 5: Solve for x
    x = 9,030,890,961/60,708
  6. Step 6: Final answer
    x = 148,759.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.