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Finding the Third Proportional to 63,845 and 129,514

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Solution

The third proportional to 63,845 and 129,514 is: 262,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,845 : 129,514 = 129,514 : x
  2. Step 2: Convert to fraction form
    63,845/129,514 = 129,514/x
  3. Step 3: Cross multiply
    63,845x = 129,514 × 129,514
  4. Step 4: Simplify right side
    63,845x = 16,773,876,196
  5. Step 5: Solve for x
    x = 16,773,876,196/63,845
  6. Step 6: Final answer
    x = 262,728.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.