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Finding the Third Proportional to 63,961 and 89,466

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Solution

The third proportional to 63,961 and 89,466 is: 125,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,961 : 89,466 = 89,466 : x
  2. Step 2: Convert to fraction form
    63,961/89,466 = 89,466/x
  3. Step 3: Cross multiply
    63,961x = 89,466 × 89,466
  4. Step 4: Simplify right side
    63,961x = 8,004,165,156
  5. Step 5: Solve for x
    x = 8,004,165,156/63,961
  6. Step 6: Final answer
    x = 125,141.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.