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Finding the Third Proportional to 51,744 and 77,872

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Solution

The third proportional to 51,744 and 77,872 is: 117,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744 : 77,872 = 77,872 : x
  2. Step 2: Convert to fraction form
    51,744/77,872 = 77,872/x
  3. Step 3: Cross multiply
    51,744x = 77,872 × 77,872
  4. Step 4: Simplify right side
    51,744x = 6,064,048,384
  5. Step 5: Solve for x
    x = 6,064,048,384/51,744
  6. Step 6: Final answer
    x = 117,193.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.