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Finding the Third Proportional to 121,671 and 162,753

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Solution

The third proportional to 121,671 and 162,753 is: 217,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,671 : 162,753 = 162,753 : x
  2. Step 2: Convert to fraction form
    121,671/162,753 = 162,753/x
  3. Step 3: Cross multiply
    121,671x = 162,753 × 162,753
  4. Step 4: Simplify right side
    121,671x = 26,488,539,009
  5. Step 5: Solve for x
    x = 26,488,539,009/121,671
  6. Step 6: Final answer
    x = 217,706.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.