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Finding the Third Proportional to 121,495 and 171,016

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Solution

The third proportional to 121,495 and 171,016 is: 240,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,495 : 171,016 = 171,016 : x
  2. Step 2: Convert to fraction form
    121,495/171,016 = 171,016/x
  3. Step 3: Cross multiply
    121,495x = 171,016 × 171,016
  4. Step 4: Simplify right side
    121,495x = 29,246,472,256
  5. Step 5: Solve for x
    x = 29,246,472,256/121,495
  6. Step 6: Final answer
    x = 240,721.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.