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Finding the Third Proportional to 71,158 and 150,151

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Solution

The third proportional to 71,158 and 150,151 is: 316,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158 : 150,151 = 150,151 : x
  2. Step 2: Convert to fraction form
    71,158/150,151 = 150,151/x
  3. Step 3: Cross multiply
    71,158x = 150,151 × 150,151
  4. Step 4: Simplify right side
    71,158x = 22,545,322,801
  5. Step 5: Solve for x
    x = 22,545,322,801/71,158
  6. Step 6: Final answer
    x = 316,834.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.