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Finding the Third Proportional to 43,121.25 and 59,378.91

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Solution

The third proportional to 43,121.25 and 59,378.91 is: 81,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,121.25 : 59,378.91 = 59,378.91 : x
  2. Step 2: Convert to fraction form
    43,121.25/59,378.91 = 59,378.91/x
  3. Step 3: Cross multiply
    43,121.25x = 59,378.91 × 59,378.91
  4. Step 4: Simplify right side
    43,121.25x = 3,525,854,507.45
  5. Step 5: Solve for x
    x = 3,525,854,507.45/43,121.25
  6. Step 6: Final answer
    x = 81,766.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.