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Finding the Third Proportional to 80,517 and 109,339.50

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Solution

The third proportional to 80,517 and 109,339.50 is: 148,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,517 : 109,339.50 = 109,339.50 : x
  2. Step 2: Convert to fraction form
    80,517/109,339.50 = 109,339.50/x
  3. Step 3: Cross multiply
    80,517x = 109,339.50 × 109,339.50
  4. Step 4: Simplify right side
    80,517x = 11,955,126,260.25
  5. Step 5: Solve for x
    x = 11,955,126,260.25/80,517
  6. Step 6: Final answer
    x = 148,479.53

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