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Finding the Third Proportional to 52,734 and 80,666

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Solution

The third proportional to 52,734 and 80,666 is: 123,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,734 : 80,666 = 80,666 : x
  2. Step 2: Convert to fraction form
    52,734/80,666 = 80,666/x
  3. Step 3: Cross multiply
    52,734x = 80,666 × 80,666
  4. Step 4: Simplify right side
    52,734x = 6,507,003,556
  5. Step 5: Solve for x
    x = 6,507,003,556/52,734
  6. Step 6: Final answer
    x = 123,392.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.