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Finding the Third Proportional to 117,936 and 187,566

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Solution

The third proportional to 117,936 and 187,566 is: 298,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,936 : 187,566 = 187,566 : x
  2. Step 2: Convert to fraction form
    117,936/187,566 = 187,566/x
  3. Step 3: Cross multiply
    117,936x = 187,566 × 187,566
  4. Step 4: Simplify right side
    117,936x = 35,181,004,356
  5. Step 5: Solve for x
    x = 35,181,004,356/117,936
  6. Step 6: Final answer
    x = 298,305.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.