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Finding the Third Proportional to 60,806 and 90,965

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Solution

The third proportional to 60,806 and 90,965 is: 136,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,806 : 90,965 = 90,965 : x
  2. Step 2: Convert to fraction form
    60,806/90,965 = 90,965/x
  3. Step 3: Cross multiply
    60,806x = 90,965 × 90,965
  4. Step 4: Simplify right side
    60,806x = 8,274,631,225
  5. Step 5: Solve for x
    x = 8,274,631,225/60,806
  6. Step 6: Final answer
    x = 136,082.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.