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Finding the Third Proportional to 96,212 and 165,078

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Solution

The third proportional to 96,212 and 165,078 is: 283,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,212 : 165,078 = 165,078 : x
  2. Step 2: Convert to fraction form
    96,212/165,078 = 165,078/x
  3. Step 3: Cross multiply
    96,212x = 165,078 × 165,078
  4. Step 4: Simplify right side
    96,212x = 27,250,746,084
  5. Step 5: Solve for x
    x = 27,250,746,084/96,212
  6. Step 6: Final answer
    x = 283,236.46

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.