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Finding the Third Proportional to 159,134 and 209,151

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Solution

The third proportional to 159,134 and 209,151 is: 274,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,134 : 209,151 = 209,151 : x
  2. Step 2: Convert to fraction form
    159,134/209,151 = 209,151/x
  3. Step 3: Cross multiply
    159,134x = 209,151 × 209,151
  4. Step 4: Simplify right side
    159,134x = 43,744,140,801
  5. Step 5: Solve for x
    x = 43,744,140,801/159,134
  6. Step 6: Final answer
    x = 274,888.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.