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Finding the Third Proportional to 83,250 and 127,659

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Solution

The third proportional to 83,250 and 127,659 is: 195,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250 : 127,659 = 127,659 : x
  2. Step 2: Convert to fraction form
    83,250/127,659 = 127,659/x
  3. Step 3: Cross multiply
    83,250x = 127,659 × 127,659
  4. Step 4: Simplify right side
    83,250x = 16,296,820,281
  5. Step 5: Solve for x
    x = 16,296,820,281/83,250
  6. Step 6: Final answer
    x = 195,757.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.