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Finding the Third Proportional to 85,869 and 188,001

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Solution

The third proportional to 85,869 and 188,001 is: 411,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 188,001 = 188,001 : x
  2. Step 2: Convert to fraction form
    85,869/188,001 = 188,001/x
  3. Step 3: Cross multiply
    85,869x = 188,001 × 188,001
  4. Step 4: Simplify right side
    85,869x = 35,344,376,001
  5. Step 5: Solve for x
    x = 35,344,376,001/85,869
  6. Step 6: Final answer
    x = 411,608.10

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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.