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Finding the Third Proportional to 90,315.28 and 140,642.16

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Solution

The third proportional to 90,315.28 and 140,642.16 is: 219,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,315.28 : 140,642.16 = 140,642.16 : x
  2. Step 2: Convert to fraction form
    90,315.28/140,642.16 = 140,642.16/x
  3. Step 3: Cross multiply
    90,315.28x = 140,642.16 × 140,642.16
  4. Step 4: Simplify right side
    90,315.28x = 19,780,216,114.65
  5. Step 5: Solve for x
    x = 19,780,216,114.65/90,315.28
  6. Step 6: Final answer
    x = 219,012.95

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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.