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Finding the Third Proportional to 58,066 and 127,198

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Solution

The third proportional to 58,066 and 127,198 is: 278,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,066 : 127,198 = 127,198 : x
  2. Step 2: Convert to fraction form
    58,066/127,198 = 127,198/x
  3. Step 3: Cross multiply
    58,066x = 127,198 × 127,198
  4. Step 4: Simplify right side
    58,066x = 16,179,331,204
  5. Step 5: Solve for x
    x = 16,179,331,204/58,066
  6. Step 6: Final answer
    x = 278,636.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.