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Finding the Third Proportional to 63,383 and 137,714

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Solution

The third proportional to 63,383 and 137,714 is: 299,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,383 : 137,714 = 137,714 : x
  2. Step 2: Convert to fraction form
    63,383/137,714 = 137,714/x
  3. Step 3: Cross multiply
    63,383x = 137,714 × 137,714
  4. Step 4: Simplify right side
    63,383x = 18,965,145,796
  5. Step 5: Solve for x
    x = 18,965,145,796/63,383
  6. Step 6: Final answer
    x = 299,215.02

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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.