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Finding the Third Proportional to 61,163.38 and 91,687.41

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Solution

The third proportional to 61,163.38 and 91,687.41 is: 137,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,163.38 : 91,687.41 = 91,687.41 : x
  2. Step 2: Convert to fraction form
    61,163.38/91,687.41 = 91,687.41/x
  3. Step 3: Cross multiply
    61,163.38x = 91,687.41 × 91,687.41
  4. Step 4: Simplify right side
    61,163.38x = 8,406,581,539.31
  5. Step 5: Solve for x
    x = 8,406,581,539.31/61,163.38
  6. Step 6: Final answer
    x = 137,444.67

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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.