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Finding the Third Proportional to 80,818 and 108,713

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Solution

The third proportional to 80,818 and 108,713 is: 146,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,818 : 108,713 = 108,713 : x
  2. Step 2: Convert to fraction form
    80,818/108,713 = 108,713/x
  3. Step 3: Cross multiply
    80,818x = 108,713 × 108,713
  4. Step 4: Simplify right side
    80,818x = 11,818,516,369
  5. Step 5: Solve for x
    x = 11,818,516,369/80,818
  6. Step 6: Final answer
    x = 146,236.19

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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.