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Finding the Third Proportional to 110,514 and 169,966

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Solution

The third proportional to 110,514 and 169,966 is: 261,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,514 : 169,966 = 169,966 : x
  2. Step 2: Convert to fraction form
    110,514/169,966 = 169,966/x
  3. Step 3: Cross multiply
    110,514x = 169,966 × 169,966
  4. Step 4: Simplify right side
    110,514x = 28,888,441,156
  5. Step 5: Solve for x
    x = 28,888,441,156/110,514
  6. Step 6: Final answer
    x = 261,400.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.