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Finding the Third Proportional to 63,851 and 138,757

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Solution

The third proportional to 63,851 and 138,757 is: 301,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,851 : 138,757 = 138,757 : x
  2. Step 2: Convert to fraction form
    63,851/138,757 = 138,757/x
  3. Step 3: Cross multiply
    63,851x = 138,757 × 138,757
  4. Step 4: Simplify right side
    63,851x = 19,253,505,049
  5. Step 5: Solve for x
    x = 19,253,505,049/63,851
  6. Step 6: Final answer
    x = 301,538.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.