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Finding the Third Proportional to 63,432 and 150,012

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Solution

The third proportional to 63,432 and 150,012 is: 354,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,432 : 150,012 = 150,012 : x
  2. Step 2: Convert to fraction form
    63,432/150,012 = 150,012/x
  3. Step 3: Cross multiply
    63,432x = 150,012 × 150,012
  4. Step 4: Simplify right side
    63,432x = 22,503,600,144
  5. Step 5: Solve for x
    x = 22,503,600,144/63,432
  6. Step 6: Final answer
    x = 354,767.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.