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Finding the Third Proportional to 114,134 and 165,249

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Solution

The third proportional to 114,134 and 165,249 is: 239,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,134 : 165,249 = 165,249 : x
  2. Step 2: Convert to fraction form
    114,134/165,249 = 165,249/x
  3. Step 3: Cross multiply
    114,134x = 165,249 × 165,249
  4. Step 4: Simplify right side
    114,134x = 27,307,232,001
  5. Step 5: Solve for x
    x = 27,307,232,001/114,134
  6. Step 6: Final answer
    x = 239,255.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.