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Finding the Third Proportional to 60,950 and 91,593

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Solution

The third proportional to 60,950 and 91,593 is: 137,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,950 : 91,593 = 91,593 : x
  2. Step 2: Convert to fraction form
    60,950/91,593 = 91,593/x
  3. Step 3: Cross multiply
    60,950x = 91,593 × 91,593
  4. Step 4: Simplify right side
    60,950x = 8,389,277,649
  5. Step 5: Solve for x
    x = 8,389,277,649/60,950
  6. Step 6: Final answer
    x = 137,641.96

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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.