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Finding the Third Proportional to 114,771 and 161,337

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Solution

The third proportional to 114,771 and 161,337 is: 226,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,771 : 161,337 = 161,337 : x
  2. Step 2: Convert to fraction form
    114,771/161,337 = 161,337/x
  3. Step 3: Cross multiply
    114,771x = 161,337 × 161,337
  4. Step 4: Simplify right side
    114,771x = 26,029,627,569
  5. Step 5: Solve for x
    x = 26,029,627,569/114,771
  6. Step 6: Final answer
    x = 226,796.21

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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.