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Finding the Third Proportional to 49,518 and 100,758

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Solution

The third proportional to 49,518 and 100,758 is: 205,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518 : 100,758 = 100,758 : x
  2. Step 2: Convert to fraction form
    49,518/100,758 = 100,758/x
  3. Step 3: Cross multiply
    49,518x = 100,758 × 100,758
  4. Step 4: Simplify right side
    49,518x = 10,152,174,564
  5. Step 5: Solve for x
    x = 10,152,174,564/49,518
  6. Step 6: Final answer
    x = 205,019.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.