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Finding the Third Proportional to 92,452 and 142,134

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Solution

The third proportional to 92,452 and 142,134 is: 218,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,452 : 142,134 = 142,134 : x
  2. Step 2: Convert to fraction form
    92,452/142,134 = 142,134/x
  3. Step 3: Cross multiply
    92,452x = 142,134 × 142,134
  4. Step 4: Simplify right side
    92,452x = 20,202,073,956
  5. Step 5: Solve for x
    x = 20,202,073,956/92,452
  6. Step 6: Final answer
    x = 218,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.