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Finding the Third Proportional to 85,745 and 188,460

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Solution

The third proportional to 85,745 and 188,460 is: 414,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,745 : 188,460 = 188,460 : x
  2. Step 2: Convert to fraction form
    85,745/188,460 = 188,460/x
  3. Step 3: Cross multiply
    85,745x = 188,460 × 188,460
  4. Step 4: Simplify right side
    85,745x = 35,517,171,600
  5. Step 5: Solve for x
    x = 35,517,171,600/85,745
  6. Step 6: Final answer
    x = 414,218.57

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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.