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Finding the Third Proportional to 80,816 and 108,710

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Solution

The third proportional to 80,816 and 108,710 is: 146,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,816 : 108,710 = 108,710 : x
  2. Step 2: Convert to fraction form
    80,816/108,710 = 108,710/x
  3. Step 3: Cross multiply
    80,816x = 108,710 × 108,710
  4. Step 4: Simplify right side
    80,816x = 11,817,864,100
  5. Step 5: Solve for x
    x = 11,817,864,100/80,816
  6. Step 6: Final answer
    x = 146,231.74

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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.