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Finding the Third Proportional to 45,474 and 98,748

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Solution

The third proportional to 45,474 and 98,748 is: 214,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,474 : 98,748 = 98,748 : x
  2. Step 2: Convert to fraction form
    45,474/98,748 = 98,748/x
  3. Step 3: Cross multiply
    45,474x = 98,748 × 98,748
  4. Step 4: Simplify right side
    45,474x = 9,751,167,504
  5. Step 5: Solve for x
    x = 9,751,167,504/45,474
  6. Step 6: Final answer
    x = 214,433.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.