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Finding the Third Proportional to 75,424 and 111,832

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Solution

The third proportional to 75,424 and 111,832 is: 165,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 111,832 = 111,832 : x
  2. Step 2: Convert to fraction form
    75,424/111,832 = 111,832/x
  3. Step 3: Cross multiply
    75,424x = 111,832 × 111,832
  4. Step 4: Simplify right side
    75,424x = 12,506,396,224
  5. Step 5: Solve for x
    x = 12,506,396,224/75,424
  6. Step 6: Final answer
    x = 165,814.54

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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.