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Finding the Third Proportional to 60,729.75 and 81,708.75

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Solution

The third proportional to 60,729.75 and 81,708.75 is: 109,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,729.75 : 81,708.75 = 81,708.75 : x
  2. Step 2: Convert to fraction form
    60,729.75/81,708.75 = 81,708.75/x
  3. Step 3: Cross multiply
    60,729.75x = 81,708.75 × 81,708.75
  4. Step 4: Simplify right side
    60,729.75x = 6,676,319,826.56
  5. Step 5: Solve for x
    x = 6,676,319,826.56/60,729.75
  6. Step 6: Final answer
    x = 109,934.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.