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Finding the Third Proportional to 52,725 and 113,514

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Solution

The third proportional to 52,725 and 113,514 is: 244,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,725 : 113,514 = 113,514 : x
  2. Step 2: Convert to fraction form
    52,725/113,514 = 113,514/x
  3. Step 3: Cross multiply
    52,725x = 113,514 × 113,514
  4. Step 4: Simplify right side
    52,725x = 12,885,428,196
  5. Step 5: Solve for x
    x = 12,885,428,196/52,725
  6. Step 6: Final answer
    x = 244,389.34

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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.