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Finding the Third Proportional to 63,862 and 138,914

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Solution

The third proportional to 63,862 and 138,914 is: 302,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,862 : 138,914 = 138,914 : x
  2. Step 2: Convert to fraction form
    63,862/138,914 = 138,914/x
  3. Step 3: Cross multiply
    63,862x = 138,914 × 138,914
  4. Step 4: Simplify right side
    63,862x = 19,297,099,396
  5. Step 5: Solve for x
    x = 19,297,099,396/63,862
  6. Step 6: Final answer
    x = 302,168.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.