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Finding the Third Proportional to 63,868 and 138,926

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Solution

The third proportional to 63,868 and 138,926 is: 302,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,868 : 138,926 = 138,926 : x
  2. Step 2: Convert to fraction form
    63,868/138,926 = 138,926/x
  3. Step 3: Cross multiply
    63,868x = 138,926 × 138,926
  4. Step 4: Simplify right side
    63,868x = 19,300,433,476
  5. Step 5: Solve for x
    x = 19,300,433,476/63,868
  6. Step 6: Final answer
    x = 302,192.55

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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.