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Finding the Third Proportional to 63,934 and 94,662

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Solution

The third proportional to 63,934 and 94,662 is: 140,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,934 : 94,662 = 94,662 : x
  2. Step 2: Convert to fraction form
    63,934/94,662 = 94,662/x
  3. Step 3: Cross multiply
    63,934x = 94,662 × 94,662
  4. Step 4: Simplify right side
    63,934x = 8,960,894,244
  5. Step 5: Solve for x
    x = 8,960,894,244/63,934
  6. Step 6: Final answer
    x = 140,158.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.