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Finding the Third Proportional to 90,665.25 and 127,452

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Solution

The third proportional to 90,665.25 and 127,452 is: 179,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,665.25 : 127,452 = 127,452 : x
  2. Step 2: Convert to fraction form
    90,665.25/127,452 = 127,452/x
  3. Step 3: Cross multiply
    90,665.25x = 127,452 × 127,452
  4. Step 4: Simplify right side
    90,665.25x = 16,244,012,304
  5. Step 5: Solve for x
    x = 16,244,012,304/90,665.25
  6. Step 6: Final answer
    x = 179,164.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.