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Finding the Third Proportional to 63,906 and 138,856

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Solution

The third proportional to 63,906 and 138,856 is: 301,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,906 : 138,856 = 138,856 : x
  2. Step 2: Convert to fraction form
    63,906/138,856 = 138,856/x
  3. Step 3: Cross multiply
    63,906x = 138,856 × 138,856
  4. Step 4: Simplify right side
    63,906x = 19,280,988,736
  5. Step 5: Solve for x
    x = 19,280,988,736/63,906
  6. Step 6: Final answer
    x = 301,708.58

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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.