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Finding the Third Proportional to 42,800 and 65,870

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Solution

The third proportional to 42,800 and 65,870 is: 101,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 65,870 = 65,870 : x
  2. Step 2: Convert to fraction form
    42,800/65,870 = 65,870/x
  3. Step 3: Cross multiply
    42,800x = 65,870 × 65,870
  4. Step 4: Simplify right side
    42,800x = 4,338,856,900
  5. Step 5: Solve for x
    x = 4,338,856,900/42,800
  6. Step 6: Final answer
    x = 101,375.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.