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Finding the Third Proportional to 60,754 and 80,870

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Solution

The third proportional to 60,754 and 80,870 is: 107,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,754 : 80,870 = 80,870 : x
  2. Step 2: Convert to fraction form
    60,754/80,870 = 80,870/x
  3. Step 3: Cross multiply
    60,754x = 80,870 × 80,870
  4. Step 4: Simplify right side
    60,754x = 6,539,956,900
  5. Step 5: Solve for x
    x = 6,539,956,900/60,754
  6. Step 6: Final answer
    x = 107,646.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.