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Finding the Third Proportional to 90,182.25 and 140,731.88

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Solution

The third proportional to 90,182.25 and 140,731.88 is: 219,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,182.25 : 140,731.88 = 140,731.88 : x
  2. Step 2: Convert to fraction form
    90,182.25/140,731.88 = 140,731.88/x
  3. Step 3: Cross multiply
    90,182.25x = 140,731.88 × 140,731.88
  4. Step 4: Simplify right side
    90,182.25x = 19,805,460,641.02
  5. Step 5: Solve for x
    x = 19,805,460,641.02/90,182.25
  6. Step 6: Final answer
    x = 219,615.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.