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Finding the Third Proportional to 54,952 and 112,514

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Solution

The third proportional to 54,952 and 112,514 is: 230,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952 : 112,514 = 112,514 : x
  2. Step 2: Convert to fraction form
    54,952/112,514 = 112,514/x
  3. Step 3: Cross multiply
    54,952x = 112,514 × 112,514
  4. Step 4: Simplify right side
    54,952x = 12,659,400,196
  5. Step 5: Solve for x
    x = 12,659,400,196/54,952
  6. Step 6: Final answer
    x = 230,371.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.