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Finding the Third Proportional to 52,062 and 80,565

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Solution

The third proportional to 52,062 and 80,565 is: 124,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062 : 80,565 = 80,565 : x
  2. Step 2: Convert to fraction form
    52,062/80,565 = 80,565/x
  3. Step 3: Cross multiply
    52,062x = 80,565 × 80,565
  4. Step 4: Simplify right side
    52,062x = 6,490,719,225
  5. Step 5: Solve for x
    x = 6,490,719,225/52,062
  6. Step 6: Final answer
    x = 124,672.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.