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Finding the Third Proportional to 98,400 and 151,962

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Solution

The third proportional to 98,400 and 151,962 is: 234,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400 : 151,962 = 151,962 : x
  2. Step 2: Convert to fraction form
    98,400/151,962 = 151,962/x
  3. Step 3: Cross multiply
    98,400x = 151,962 × 151,962
  4. Step 4: Simplify right side
    98,400x = 23,092,449,444
  5. Step 5: Solve for x
    x = 23,092,449,444/98,400
  6. Step 6: Final answer
    x = 234,679.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.