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Finding the Third Proportional to 63,686 and 98,201

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Solution

The third proportional to 63,686 and 98,201 is: 151,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,686 : 98,201 = 98,201 : x
  2. Step 2: Convert to fraction form
    63,686/98,201 = 98,201/x
  3. Step 3: Cross multiply
    63,686x = 98,201 × 98,201
  4. Step 4: Simplify right side
    63,686x = 9,643,436,401
  5. Step 5: Solve for x
    x = 9,643,436,401/63,686
  6. Step 6: Final answer
    x = 151,421.61

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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.