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Finding the Third Proportional to 52,450 and 80,666

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Solution

The third proportional to 52,450 and 80,666 is: 124,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450 : 80,666 = 80,666 : x
  2. Step 2: Convert to fraction form
    52,450/80,666 = 80,666/x
  3. Step 3: Cross multiply
    52,450x = 80,666 × 80,666
  4. Step 4: Simplify right side
    52,450x = 6,507,003,556
  5. Step 5: Solve for x
    x = 6,507,003,556/52,450
  6. Step 6: Final answer
    x = 124,061.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.