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Finding the Third Proportional to 49,924.50 and 108,597

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Solution

The third proportional to 49,924.50 and 108,597 is: 236,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924.50 : 108,597 = 108,597 : x
  2. Step 2: Convert to fraction form
    49,924.50/108,597 = 108,597/x
  3. Step 3: Cross multiply
    49,924.50x = 108,597 × 108,597
  4. Step 4: Simplify right side
    49,924.50x = 11,793,308,409
  5. Step 5: Solve for x
    x = 11,793,308,409/49,924.50
  6. Step 6: Final answer
    x = 236,222.86

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