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Finding the Third Proportional to 85,926 and 188,376

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Solution

The third proportional to 85,926 and 188,376 is: 412,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,926 : 188,376 = 188,376 : x
  2. Step 2: Convert to fraction form
    85,926/188,376 = 188,376/x
  3. Step 3: Cross multiply
    85,926x = 188,376 × 188,376
  4. Step 4: Simplify right side
    85,926x = 35,485,517,376
  5. Step 5: Solve for x
    x = 35,485,517,376/85,926
  6. Step 6: Final answer
    x = 412,977.65

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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.