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Finding the Third Proportional to 42,597 and 93,759

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Solution

The third proportional to 42,597 and 93,759 is: 206,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,597 : 93,759 = 93,759 : x
  2. Step 2: Convert to fraction form
    42,597/93,759 = 93,759/x
  3. Step 3: Cross multiply
    42,597x = 93,759 × 93,759
  4. Step 4: Simplify right side
    42,597x = 8,790,750,081
  5. Step 5: Solve for x
    x = 8,790,750,081/42,597
  6. Step 6: Final answer
    x = 206,370.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.