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Finding the Third Proportional to 45,666 and 98,568

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Solution

The third proportional to 45,666 and 98,568 is: 212,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,666 : 98,568 = 98,568 : x
  2. Step 2: Convert to fraction form
    45,666/98,568 = 98,568/x
  3. Step 3: Cross multiply
    45,666x = 98,568 × 98,568
  4. Step 4: Simplify right side
    45,666x = 9,715,650,624
  5. Step 5: Solve for x
    x = 9,715,650,624/45,666
  6. Step 6: Final answer
    x = 212,754.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.