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Finding the Third Proportional to 107,290 and 166,220

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Solution

The third proportional to 107,290 and 166,220 is: 257,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290 : 166,220 = 166,220 : x
  2. Step 2: Convert to fraction form
    107,290/166,220 = 166,220/x
  3. Step 3: Cross multiply
    107,290x = 166,220 × 166,220
  4. Step 4: Simplify right side
    107,290x = 27,629,088,400
  5. Step 5: Solve for x
    x = 27,629,088,400/107,290
  6. Step 6: Final answer
    x = 257,517.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.