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Finding the Third Proportional to 60,716 and 80,309.50

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Solution

The third proportional to 60,716 and 80,309.50 is: 106,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,716 : 80,309.50 = 80,309.50 : x
  2. Step 2: Convert to fraction form
    60,716/80,309.50 = 80,309.50/x
  3. Step 3: Cross multiply
    60,716x = 80,309.50 × 80,309.50
  4. Step 4: Simplify right side
    60,716x = 6,449,615,790.25
  5. Step 5: Solve for x
    x = 6,449,615,790.25/60,716
  6. Step 6: Final answer
    x = 106,225.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.