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Finding the Third Proportional to 45,478 and 98,462

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Solution

The third proportional to 45,478 and 98,462 is: 213,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,478 : 98,462 = 98,462 : x
  2. Step 2: Convert to fraction form
    45,478/98,462 = 98,462/x
  3. Step 3: Cross multiply
    45,478x = 98,462 × 98,462
  4. Step 4: Simplify right side
    45,478x = 9,694,765,444
  5. Step 5: Solve for x
    x = 9,694,765,444/45,478
  6. Step 6: Final answer
    x = 213,174.84

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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.