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Finding the Third Proportional to 41,057.25 and 88,862.25

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Solution

The third proportional to 41,057.25 and 88,862.25 is: 192,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,057.25 : 88,862.25 = 88,862.25 : x
  2. Step 2: Convert to fraction form
    41,057.25/88,862.25 = 88,862.25/x
  3. Step 3: Cross multiply
    41,057.25x = 88,862.25 × 88,862.25
  4. Step 4: Simplify right side
    41,057.25x = 7,896,499,475.06
  5. Step 5: Solve for x
    x = 7,896,499,475.06/41,057.25
  6. Step 6: Final answer
    x = 192,328.99

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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.