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Finding the Third Proportional to 85,826 and 189,102

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Solution

The third proportional to 85,826 and 189,102 is: 416,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,826 : 189,102 = 189,102 : x
  2. Step 2: Convert to fraction form
    85,826/189,102 = 189,102/x
  3. Step 3: Cross multiply
    85,826x = 189,102 × 189,102
  4. Step 4: Simplify right side
    85,826x = 35,759,566,404
  5. Step 5: Solve for x
    x = 35,759,566,404/85,826
  6. Step 6: Final answer
    x = 416,651.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.