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Finding the Third Proportional to 39,954 and 87,550

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Solution

The third proportional to 39,954 and 87,550 is: 191,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954 : 87,550 = 87,550 : x
  2. Step 2: Convert to fraction form
    39,954/87,550 = 87,550/x
  3. Step 3: Cross multiply
    39,954x = 87,550 × 87,550
  4. Step 4: Simplify right side
    39,954x = 7,665,002,500
  5. Step 5: Solve for x
    x = 7,665,002,500/39,954
  6. Step 6: Final answer
    x = 191,845.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.