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Finding the Third Proportional to 121,073 and 166,195

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Solution

The third proportional to 121,073 and 166,195 is: 228,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,073 : 166,195 = 166,195 : x
  2. Step 2: Convert to fraction form
    121,073/166,195 = 166,195/x
  3. Step 3: Cross multiply
    121,073x = 166,195 × 166,195
  4. Step 4: Simplify right side
    121,073x = 27,620,778,025
  5. Step 5: Solve for x
    x = 27,620,778,025/121,073
  6. Step 6: Final answer
    x = 228,133.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.