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Finding the Third Proportional to 60,422 and 91,965

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Solution

The third proportional to 60,422 and 91,965 is: 139,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,422 : 91,965 = 91,965 : x
  2. Step 2: Convert to fraction form
    60,422/91,965 = 91,965/x
  3. Step 3: Cross multiply
    60,422x = 91,965 × 91,965
  4. Step 4: Simplify right side
    60,422x = 8,457,561,225
  5. Step 5: Solve for x
    x = 8,457,561,225/60,422
  6. Step 6: Final answer
    x = 139,974.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.