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Finding the Third Proportional to 39,514 and 83,678

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Solution

The third proportional to 39,514 and 83,678 is: 177,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,514 : 83,678 = 83,678 : x
  2. Step 2: Convert to fraction form
    39,514/83,678 = 83,678/x
  3. Step 3: Cross multiply
    39,514x = 83,678 × 83,678
  4. Step 4: Simplify right side
    39,514x = 7,002,007,684
  5. Step 5: Solve for x
    x = 7,002,007,684/39,514
  6. Step 6: Final answer
    x = 177,203.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.