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Finding the Third Proportional to 56,866 and 132,197

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Solution

The third proportional to 56,866 and 132,197 is: 307,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,866 : 132,197 = 132,197 : x
  2. Step 2: Convert to fraction form
    56,866/132,197 = 132,197/x
  3. Step 3: Cross multiply
    56,866x = 132,197 × 132,197
  4. Step 4: Simplify right side
    56,866x = 17,476,046,809
  5. Step 5: Solve for x
    x = 17,476,046,809/56,866
  6. Step 6: Final answer
    x = 307,319.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.