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Finding the Third Proportional to 49,650 and 74,939

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Solution

The third proportional to 49,650 and 74,939 is: 113,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650 : 74,939 = 74,939 : x
  2. Step 2: Convert to fraction form
    49,650/74,939 = 74,939/x
  3. Step 3: Cross multiply
    49,650x = 74,939 × 74,939
  4. Step 4: Simplify right side
    49,650x = 5,615,853,721
  5. Step 5: Solve for x
    x = 5,615,853,721/49,650
  6. Step 6: Final answer
    x = 113,108.84

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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.