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Finding the Third Proportional to 57,763.13 and 125,003.25

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Solution

The third proportional to 57,763.13 and 125,003.25 is: 270,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763.13 : 125,003.25 = 125,003.25 : x
  2. Step 2: Convert to fraction form
    57,763.13/125,003.25 = 125,003.25/x
  3. Step 3: Cross multiply
    57,763.13x = 125,003.25 × 125,003.25
  4. Step 4: Simplify right side
    57,763.13x = 15,625,812,510.56
  5. Step 5: Solve for x
    x = 15,625,812,510.56/57,763.13
  6. Step 6: Final answer
    x = 270,515.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.