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Finding the Third Proportional to 49,077 and 75,573

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Solution

The third proportional to 49,077 and 75,573 is: 116,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,077 : 75,573 = 75,573 : x
  2. Step 2: Convert to fraction form
    49,077/75,573 = 75,573/x
  3. Step 3: Cross multiply
    49,077x = 75,573 × 75,573
  4. Step 4: Simplify right side
    49,077x = 5,711,278,329
  5. Step 5: Solve for x
    x = 5,711,278,329/49,077
  6. Step 6: Final answer
    x = 116,373.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.