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Finding the Third Proportional to 87,895 and 124,452

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Solution

The third proportional to 87,895 and 124,452 is: 176,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,895 : 124,452 = 124,452 : x
  2. Step 2: Convert to fraction form
    87,895/124,452 = 124,452/x
  3. Step 3: Cross multiply
    87,895x = 124,452 × 124,452
  4. Step 4: Simplify right side
    87,895x = 15,488,300,304
  5. Step 5: Solve for x
    x = 15,488,300,304/87,895
  6. Step 6: Final answer
    x = 176,213.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.