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Finding the Third Proportional to 63,850 and 98,008

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Solution

The third proportional to 63,850 and 98,008 is: 150,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,850 : 98,008 = 98,008 : x
  2. Step 2: Convert to fraction form
    63,850/98,008 = 98,008/x
  3. Step 3: Cross multiply
    63,850x = 98,008 × 98,008
  4. Step 4: Simplify right side
    63,850x = 9,605,568,064
  5. Step 5: Solve for x
    x = 9,605,568,064/63,850
  6. Step 6: Final answer
    x = 150,439.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.