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Finding the Third Proportional to 49,958 and 74,180

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Solution

The third proportional to 49,958 and 74,180 is: 110,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,958 : 74,180 = 74,180 : x
  2. Step 2: Convert to fraction form
    49,958/74,180 = 74,180/x
  3. Step 3: Cross multiply
    49,958x = 74,180 × 74,180
  4. Step 4: Simplify right side
    49,958x = 5,502,672,400
  5. Step 5: Solve for x
    x = 5,502,672,400/49,958
  6. Step 6: Final answer
    x = 110,145.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.