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Finding the Third Proportional to 61,035.50 and 91,493

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Solution

The third proportional to 61,035.50 and 91,493 is: 137,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,035.50 : 91,493 = 91,493 : x
  2. Step 2: Convert to fraction form
    61,035.50/91,493 = 91,493/x
  3. Step 3: Cross multiply
    61,035.50x = 91,493 × 91,493
  4. Step 4: Simplify right side
    61,035.50x = 8,370,969,049
  5. Step 5: Solve for x
    x = 8,370,969,049/61,035.50
  6. Step 6: Final answer
    x = 137,149.18

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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.