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Finding the Third Proportional to 71,400 and 153,832

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Solution

The third proportional to 71,400 and 153,832 is: 331,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,400 : 153,832 = 153,832 : x
  2. Step 2: Convert to fraction form
    71,400/153,832 = 153,832/x
  3. Step 3: Cross multiply
    71,400x = 153,832 × 153,832
  4. Step 4: Simplify right side
    71,400x = 23,664,284,224
  5. Step 5: Solve for x
    x = 23,664,284,224/71,400
  6. Step 6: Final answer
    x = 331,432.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.