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Finding the Third Proportional to 90,870.50 and 192,757

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Solution

The third proportional to 90,870.50 and 192,757 is: 408,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,870.50 : 192,757 = 192,757 : x
  2. Step 2: Convert to fraction form
    90,870.50/192,757 = 192,757/x
  3. Step 3: Cross multiply
    90,870.50x = 192,757 × 192,757
  4. Step 4: Simplify right side
    90,870.50x = 37,155,261,049
  5. Step 5: Solve for x
    x = 37,155,261,049/90,870.50
  6. Step 6: Final answer
    x = 408,881.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.