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Finding the Third Proportional to 61,734 and 132,672

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Solution

The third proportional to 61,734 and 132,672 is: 285,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,734 : 132,672 = 132,672 : x
  2. Step 2: Convert to fraction form
    61,734/132,672 = 132,672/x
  3. Step 3: Cross multiply
    61,734x = 132,672 × 132,672
  4. Step 4: Simplify right side
    61,734x = 17,601,859,584
  5. Step 5: Solve for x
    x = 17,601,859,584/61,734
  6. Step 6: Final answer
    x = 285,124.24

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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.