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Finding the Third Proportional to 52,514 and 112,828

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Solution

The third proportional to 52,514 and 112,828 is: 242,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,514 : 112,828 = 112,828 : x
  2. Step 2: Convert to fraction form
    52,514/112,828 = 112,828/x
  3. Step 3: Cross multiply
    52,514x = 112,828 × 112,828
  4. Step 4: Simplify right side
    52,514x = 12,730,157,584
  5. Step 5: Solve for x
    x = 12,730,157,584/52,514
  6. Step 6: Final answer
    x = 242,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.