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Finding the Third Proportional to 88,550 and 131,571

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Solution

The third proportional to 88,550 and 131,571 is: 195,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,550 : 131,571 = 131,571 : x
  2. Step 2: Convert to fraction form
    88,550/131,571 = 131,571/x
  3. Step 3: Cross multiply
    88,550x = 131,571 × 131,571
  4. Step 4: Simplify right side
    88,550x = 17,310,928,041
  5. Step 5: Solve for x
    x = 17,310,928,041/88,550
  6. Step 6: Final answer
    x = 195,493.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.