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Finding the Third Proportional to 59,224.50 and 131,571

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Solution

The third proportional to 59,224.50 and 131,571 is: 292,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,224.50 : 131,571 = 131,571 : x
  2. Step 2: Convert to fraction form
    59,224.50/131,571 = 131,571/x
  3. Step 3: Cross multiply
    59,224.50x = 131,571 × 131,571
  4. Step 4: Simplify right side
    59,224.50x = 17,310,928,041
  5. Step 5: Solve for x
    x = 17,310,928,041/59,224.50
  6. Step 6: Final answer
    x = 292,293.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.