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Finding the Third Proportional to 87,583.50 and 135,891

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Solution

The third proportional to 87,583.50 and 135,891 is: 210,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,583.50 : 135,891 = 135,891 : x
  2. Step 2: Convert to fraction form
    87,583.50/135,891 = 135,891/x
  3. Step 3: Cross multiply
    87,583.50x = 135,891 × 135,891
  4. Step 4: Simplify right side
    87,583.50x = 18,466,363,881
  5. Step 5: Solve for x
    x = 18,466,363,881/87,583.50
  6. Step 6: Final answer
    x = 210,842.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.