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Finding the Third Proportional to 63,508 and 137,961

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Solution

The third proportional to 63,508 and 137,961 is: 299,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508 : 137,961 = 137,961 : x
  2. Step 2: Convert to fraction form
    63,508/137,961 = 137,961/x
  3. Step 3: Cross multiply
    63,508x = 137,961 × 137,961
  4. Step 4: Simplify right side
    63,508x = 19,033,237,521
  5. Step 5: Solve for x
    x = 19,033,237,521/63,508
  6. Step 6: Final answer
    x = 299,698.27

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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.