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Finding the Third Proportional to 52,514 and 126,725

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Solution

The third proportional to 52,514 and 126,725 is: 305,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514 : 126,725 = 126,725 : x
  2. Step 2: Convert to fraction form
    52,514/126,725 = 126,725/x
  3. Step 3: Cross multiply
    52,514x = 126,725 × 126,725
  4. Step 4: Simplify right side
    52,514x = 16,059,225,625
  5. Step 5: Solve for x
    x = 16,059,225,625/52,514
  6. Step 6: Final answer
    x = 305,808.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.