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Finding the Third Proportional to 90,304 and 143,110

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Solution

The third proportional to 90,304 and 143,110 is: 226,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,304 : 143,110 = 143,110 : x
  2. Step 2: Convert to fraction form
    90,304/143,110 = 143,110/x
  3. Step 3: Cross multiply
    90,304x = 143,110 × 143,110
  4. Step 4: Simplify right side
    90,304x = 20,480,472,100
  5. Step 5: Solve for x
    x = 20,480,472,100/90,304
  6. Step 6: Final answer
    x = 226,794.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.