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Finding the Third Proportional to 75,424 and 158,432

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Solution

The third proportional to 75,424 and 158,432 is: 332,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 158,432 = 158,432 : x
  2. Step 2: Convert to fraction form
    75,424/158,432 = 158,432/x
  3. Step 3: Cross multiply
    75,424x = 158,432 × 158,432
  4. Step 4: Simplify right side
    75,424x = 25,100,698,624
  5. Step 5: Solve for x
    x = 25,100,698,624/75,424
  6. Step 6: Final answer
    x = 332,794.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.