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Finding the Third Proportional to 60,993 and 91,489.50

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Solution

The third proportional to 60,993 and 91,489.50 is: 137,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,993 : 91,489.50 = 91,489.50 : x
  2. Step 2: Convert to fraction form
    60,993/91,489.50 = 91,489.50/x
  3. Step 3: Cross multiply
    60,993x = 91,489.50 × 91,489.50
  4. Step 4: Simplify right side
    60,993x = 8,370,328,610.25
  5. Step 5: Solve for x
    x = 8,370,328,610.25/60,993
  6. Step 6: Final answer
    x = 137,234.25

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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.