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Finding the Third Proportional to 63,684 and 98,198

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Solution

The third proportional to 63,684 and 98,198 is: 151,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,684 : 98,198 = 98,198 : x
  2. Step 2: Convert to fraction form
    63,684/98,198 = 98,198/x
  3. Step 3: Cross multiply
    63,684x = 98,198 × 98,198
  4. Step 4: Simplify right side
    63,684x = 9,642,847,204
  5. Step 5: Solve for x
    x = 9,642,847,204/63,684
  6. Step 6: Final answer
    x = 151,417.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.