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Finding the Third Proportional to 96,132 and 131,886

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Solution

The third proportional to 96,132 and 131,886 is: 180,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,132 : 131,886 = 131,886 : x
  2. Step 2: Convert to fraction form
    96,132/131,886 = 131,886/x
  3. Step 3: Cross multiply
    96,132x = 131,886 × 131,886
  4. Step 4: Simplify right side
    96,132x = 17,393,916,996
  5. Step 5: Solve for x
    x = 17,393,916,996/96,132
  6. Step 6: Final answer
    x = 180,937.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.