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Finding the Third Proportional to 92,200 and 187,785

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Solution

The third proportional to 92,200 and 187,785 is: 382,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200 : 187,785 = 187,785 : x
  2. Step 2: Convert to fraction form
    92,200/187,785 = 187,785/x
  3. Step 3: Cross multiply
    92,200x = 187,785 × 187,785
  4. Step 4: Simplify right side
    92,200x = 35,263,206,225
  5. Step 5: Solve for x
    x = 35,263,206,225/92,200
  6. Step 6: Final answer
    x = 382,464.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.