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Finding the Third Proportional to 112,917 and 165,134.25

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Solution

The third proportional to 112,917 and 165,134.25 is: 241,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,917 : 165,134.25 = 165,134.25 : x
  2. Step 2: Convert to fraction form
    112,917/165,134.25 = 165,134.25/x
  3. Step 3: Cross multiply
    112,917x = 165,134.25 × 165,134.25
  4. Step 4: Simplify right side
    112,917x = 27,269,320,523.06
  5. Step 5: Solve for x
    x = 27,269,320,523.06/112,917
  6. Step 6: Final answer
    x = 241,498.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.