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Finding the Third Proportional to 51,744 and 78,666

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Solution

The third proportional to 51,744 and 78,666 is: 119,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744 : 78,666 = 78,666 : x
  2. Step 2: Convert to fraction form
    51,744/78,666 = 78,666/x
  3. Step 3: Cross multiply
    51,744x = 78,666 × 78,666
  4. Step 4: Simplify right side
    51,744x = 6,188,339,556
  5. Step 5: Solve for x
    x = 6,188,339,556/51,744
  6. Step 6: Final answer
    x = 119,595.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.