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Finding the Third Proportional to 97,919 and 132,116

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Solution

The third proportional to 97,919 and 132,116 is: 178,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,919 : 132,116 = 132,116 : x
  2. Step 2: Convert to fraction form
    97,919/132,116 = 132,116/x
  3. Step 3: Cross multiply
    97,919x = 132,116 × 132,116
  4. Step 4: Simplify right side
    97,919x = 17,454,637,456
  5. Step 5: Solve for x
    x = 17,454,637,456/97,919
  6. Step 6: Final answer
    x = 178,255.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.