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Finding the Third Proportional to 120,124 and 187,452

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Solution

The third proportional to 120,124 and 187,452 is: 292,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124 : 187,452 = 187,452 : x
  2. Step 2: Convert to fraction form
    120,124/187,452 = 187,452/x
  3. Step 3: Cross multiply
    120,124x = 187,452 × 187,452
  4. Step 4: Simplify right side
    120,124x = 35,138,252,304
  5. Step 5: Solve for x
    x = 35,138,252,304/120,124
  6. Step 6: Final answer
    x = 292,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.