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Finding the Third Proportional to 49,642 and 74,921

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Solution

The third proportional to 49,642 and 74,921 is: 113,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642 : 74,921 = 74,921 : x
  2. Step 2: Convert to fraction form
    49,642/74,921 = 74,921/x
  3. Step 3: Cross multiply
    49,642x = 74,921 × 74,921
  4. Step 4: Simplify right side
    49,642x = 5,613,156,241
  5. Step 5: Solve for x
    x = 5,613,156,241/49,642
  6. Step 6: Final answer
    x = 113,072.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.