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Finding the Third Proportional to 96,514 and 139,234

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Solution

The third proportional to 96,514 and 139,234 is: 200,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514 : 139,234 = 139,234 : x
  2. Step 2: Convert to fraction form
    96,514/139,234 = 139,234/x
  3. Step 3: Cross multiply
    96,514x = 139,234 × 139,234
  4. Step 4: Simplify right side
    96,514x = 19,386,106,756
  5. Step 5: Solve for x
    x = 19,386,106,756/96,514
  6. Step 6: Final answer
    x = 200,863.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.