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Finding the Third Proportional to 45,275 and 68,666

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Solution

The third proportional to 45,275 and 68,666 is: 104,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,275 : 68,666 = 68,666 : x
  2. Step 2: Convert to fraction form
    45,275/68,666 = 68,666/x
  3. Step 3: Cross multiply
    45,275x = 68,666 × 68,666
  4. Step 4: Simplify right side
    45,275x = 4,715,019,556
  5. Step 5: Solve for x
    x = 4,715,019,556/45,275
  6. Step 6: Final answer
    x = 104,141.79

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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.