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Finding the Third Proportional to 41,551 and 88,931

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Solution

The third proportional to 41,551 and 88,931 is: 190,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,551 : 88,931 = 88,931 : x
  2. Step 2: Convert to fraction form
    41,551/88,931 = 88,931/x
  3. Step 3: Cross multiply
    41,551x = 88,931 × 88,931
  4. Step 4: Simplify right side
    41,551x = 7,908,722,761
  5. Step 5: Solve for x
    x = 7,908,722,761/41,551
  6. Step 6: Final answer
    x = 190,337.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.