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Finding the Third Proportional to 41,056 and 88,396

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Solution

The third proportional to 41,056 and 88,396 is: 190,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,056 : 88,396 = 88,396 : x
  2. Step 2: Convert to fraction form
    41,056/88,396 = 88,396/x
  3. Step 3: Cross multiply
    41,056x = 88,396 × 88,396
  4. Step 4: Simplify right side
    41,056x = 7,813,852,816
  5. Step 5: Solve for x
    x = 7,813,852,816/41,056
  6. Step 6: Final answer
    x = 190,321.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.