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Finding the Third Proportional to 104,514 and 159,228

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Solution

The third proportional to 104,514 and 159,228 is: 242,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,514 : 159,228 = 159,228 : x
  2. Step 2: Convert to fraction form
    104,514/159,228 = 159,228/x
  3. Step 3: Cross multiply
    104,514x = 159,228 × 159,228
  4. Step 4: Simplify right side
    104,514x = 25,353,555,984
  5. Step 5: Solve for x
    x = 25,353,555,984/104,514
  6. Step 6: Final answer
    x = 242,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.