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Finding the Third Proportional to 39,456 and 83,934

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Solution

The third proportional to 39,456 and 83,934 is: 178,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 83,934 = 83,934 : x
  2. Step 2: Convert to fraction form
    39,456/83,934 = 83,934/x
  3. Step 3: Cross multiply
    39,456x = 83,934 × 83,934
  4. Step 4: Simplify right side
    39,456x = 7,044,916,356
  5. Step 5: Solve for x
    x = 7,044,916,356/39,456
  6. Step 6: Final answer
    x = 178,551.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.