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Finding the Third Proportional to 122,649 and 165,657

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Solution

The third proportional to 122,649 and 165,657 is: 223,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,649 : 165,657 = 165,657 : x
  2. Step 2: Convert to fraction form
    122,649/165,657 = 165,657/x
  3. Step 3: Cross multiply
    122,649x = 165,657 × 165,657
  4. Step 4: Simplify right side
    122,649x = 27,442,241,649
  5. Step 5: Solve for x
    x = 27,442,241,649/122,649
  6. Step 6: Final answer
    x = 223,746.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.