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Finding the Third Proportional to 90,463.50 and 125,003.25

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Solution

The third proportional to 90,463.50 and 125,003.25 is: 172,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,463.50 : 125,003.25 = 125,003.25 : x
  2. Step 2: Convert to fraction form
    90,463.50/125,003.25 = 125,003.25/x
  3. Step 3: Cross multiply
    90,463.50x = 125,003.25 × 125,003.25
  4. Step 4: Simplify right side
    90,463.50x = 15,625,812,510.56
  5. Step 5: Solve for x
    x = 15,625,812,510.56/90,463.50
  6. Step 6: Final answer
    x = 172,730.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.