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Finding the Third Proportional to 52,870 and 81,826

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Solution

The third proportional to 52,870 and 81,826 is: 126,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 81,826 = 81,826 : x
  2. Step 2: Convert to fraction form
    52,870/81,826 = 81,826/x
  3. Step 3: Cross multiply
    52,870x = 81,826 × 81,826
  4. Step 4: Simplify right side
    52,870x = 6,695,494,276
  5. Step 5: Solve for x
    x = 6,695,494,276/52,870
  6. Step 6: Final answer
    x = 126,640.71

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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.