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Finding the Third Proportional to 60,067.50 and 81,452

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Solution

The third proportional to 60,067.50 and 81,452 is: 110,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,067.50 : 81,452 = 81,452 : x
  2. Step 2: Convert to fraction form
    60,067.50/81,452 = 81,452/x
  3. Step 3: Cross multiply
    60,067.50x = 81,452 × 81,452
  4. Step 4: Simplify right side
    60,067.50x = 6,634,428,304
  5. Step 5: Solve for x
    x = 6,634,428,304/60,067.50
  6. Step 6: Final answer
    x = 110,449.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.