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Finding the Third Proportional to 48,327 and 98,014

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Solution

The third proportional to 48,327 and 98,014 is: 198,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,327 : 98,014 = 98,014 : x
  2. Step 2: Convert to fraction form
    48,327/98,014 = 98,014/x
  3. Step 3: Cross multiply
    48,327x = 98,014 × 98,014
  4. Step 4: Simplify right side
    48,327x = 9,606,744,196
  5. Step 5: Solve for x
    x = 9,606,744,196/48,327
  6. Step 6: Final answer
    x = 198,786.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.