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Finding the Third Proportional to 82,750 and 127,870

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Solution

The third proportional to 82,750 and 127,870 is: 197,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750 : 127,870 = 127,870 : x
  2. Step 2: Convert to fraction form
    82,750/127,870 = 127,870/x
  3. Step 3: Cross multiply
    82,750x = 127,870 × 127,870
  4. Step 4: Simplify right side
    82,750x = 16,350,736,900
  5. Step 5: Solve for x
    x = 16,350,736,900/82,750
  6. Step 6: Final answer
    x = 197,591.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.