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Finding the Third Proportional to 89,571.50 and 195,517

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Solution

The third proportional to 89,571.50 and 195,517 is: 426,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,571.50 : 195,517 = 195,517 : x
  2. Step 2: Convert to fraction form
    89,571.50/195,517 = 195,517/x
  3. Step 3: Cross multiply
    89,571.50x = 195,517 × 195,517
  4. Step 4: Simplify right side
    89,571.50x = 38,226,897,289
  5. Step 5: Solve for x
    x = 38,226,897,289/89,571.50
  6. Step 6: Final answer
    x = 426,775.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.