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Finding the Third Proportional to 96,886 and 131,504

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Solution

The third proportional to 96,886 and 131,504 is: 178,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,886 : 131,504 = 131,504 : x
  2. Step 2: Convert to fraction form
    96,886/131,504 = 131,504/x
  3. Step 3: Cross multiply
    96,886x = 131,504 × 131,504
  4. Step 4: Simplify right side
    96,886x = 17,293,302,016
  5. Step 5: Solve for x
    x = 17,293,302,016/96,886
  6. Step 6: Final answer
    x = 178,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.