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Finding the Third Proportional to 40,466 and 88,961

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Solution

The third proportional to 40,466 and 88,961 is: 195,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 88,961 = 88,961 : x
  2. Step 2: Convert to fraction form
    40,466/88,961 = 88,961/x
  3. Step 3: Cross multiply
    40,466x = 88,961 × 88,961
  4. Step 4: Simplify right side
    40,466x = 7,914,059,521
  5. Step 5: Solve for x
    x = 7,914,059,521/40,466
  6. Step 6: Final answer
    x = 195,573.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.