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Finding the Third Proportional to 63,866 and 149,167

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Solution

The third proportional to 63,866 and 149,167 is: 348,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,866 : 149,167 = 149,167 : x
  2. Step 2: Convert to fraction form
    63,866/149,167 = 149,167/x
  3. Step 3: Cross multiply
    63,866x = 149,167 × 149,167
  4. Step 4: Simplify right side
    63,866x = 22,250,793,889
  5. Step 5: Solve for x
    x = 22,250,793,889/63,866
  6. Step 6: Final answer
    x = 348,398.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.