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Finding the Third Proportional to 114,514 and 161,251

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Solution

The third proportional to 114,514 and 161,251 is: 227,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514 : 161,251 = 161,251 : x
  2. Step 2: Convert to fraction form
    114,514/161,251 = 161,251/x
  3. Step 3: Cross multiply
    114,514x = 161,251 × 161,251
  4. Step 4: Simplify right side
    114,514x = 26,001,885,001
  5. Step 5: Solve for x
    x = 26,001,885,001/114,514
  6. Step 6: Final answer
    x = 227,062.94

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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.