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Finding the Third Proportional to 56,776 and 117,198

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Solution

The third proportional to 56,776 and 117,198 is: 241,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,776 : 117,198 = 117,198 : x
  2. Step 2: Convert to fraction form
    56,776/117,198 = 117,198/x
  3. Step 3: Cross multiply
    56,776x = 117,198 × 117,198
  4. Step 4: Simplify right side
    56,776x = 13,735,371,204
  5. Step 5: Solve for x
    x = 13,735,371,204/56,776
  6. Step 6: Final answer
    x = 241,922.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.