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Finding the Third Proportional to 87,382.50 and 119,377.50

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Solution

The third proportional to 87,382.50 and 119,377.50 is: 163,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382.50 : 119,377.50 = 119,377.50 : x
  2. Step 2: Convert to fraction form
    87,382.50/119,377.50 = 119,377.50/x
  3. Step 3: Cross multiply
    87,382.50x = 119,377.50 × 119,377.50
  4. Step 4: Simplify right side
    87,382.50x = 14,250,987,506.25
  5. Step 5: Solve for x
    x = 14,250,987,506.25/87,382.50
  6. Step 6: Final answer
    x = 163,087.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.