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Finding the Third Proportional to 41,549 and 88,084

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Solution

The third proportional to 41,549 and 88,084 is: 186,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,549 : 88,084 = 88,084 : x
  2. Step 2: Convert to fraction form
    41,549/88,084 = 88,084/x
  3. Step 3: Cross multiply
    41,549x = 88,084 × 88,084
  4. Step 4: Simplify right side
    41,549x = 7,758,791,056
  5. Step 5: Solve for x
    x = 7,758,791,056/41,549
  6. Step 6: Final answer
    x = 186,738.33

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Why These Related Problems?

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