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Finding the Third Proportional to 49,867.50 and 107,661

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Solution

The third proportional to 49,867.50 and 107,661 is: 232,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,867.50 : 107,661 = 107,661 : x
  2. Step 2: Convert to fraction form
    49,867.50/107,661 = 107,661/x
  3. Step 3: Cross multiply
    49,867.50x = 107,661 × 107,661
  4. Step 4: Simplify right side
    49,867.50x = 11,590,890,921
  5. Step 5: Solve for x
    x = 11,590,890,921/49,867.50
  6. Step 6: Final answer
    x = 232,433.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.