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Finding the Third Proportional to 49,722.75 and 103,617

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Solution

The third proportional to 49,722.75 and 103,617 is: 215,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722.75 : 103,617 = 103,617 : x
  2. Step 2: Convert to fraction form
    49,722.75/103,617 = 103,617/x
  3. Step 3: Cross multiply
    49,722.75x = 103,617 × 103,617
  4. Step 4: Simplify right side
    49,722.75x = 10,736,482,689
  5. Step 5: Solve for x
    x = 10,736,482,689/49,722.75
  6. Step 6: Final answer
    x = 215,926.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.