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Finding the Third Proportional to 49,960.50 and 107,331

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Solution

The third proportional to 49,960.50 and 107,331 is: 230,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,960.50 : 107,331 = 107,331 : x
  2. Step 2: Convert to fraction form
    49,960.50/107,331 = 107,331/x
  3. Step 3: Cross multiply
    49,960.50x = 107,331 × 107,331
  4. Step 4: Simplify right side
    49,960.50x = 11,519,943,561
  5. Step 5: Solve for x
    x = 11,519,943,561/49,960.50
  6. Step 6: Final answer
    x = 230,581.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.