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Finding the Third Proportional to 114,769 and 161,334

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Solution

The third proportional to 114,769 and 161,334 is: 226,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769 : 161,334 = 161,334 : x
  2. Step 2: Convert to fraction form
    114,769/161,334 = 161,334/x
  3. Step 3: Cross multiply
    114,769x = 161,334 × 161,334
  4. Step 4: Simplify right side
    114,769x = 26,028,659,556
  5. Step 5: Solve for x
    x = 26,028,659,556/114,769
  6. Step 6: Final answer
    x = 226,791.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.