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Finding the Third Proportional to 85,708 and 186,100

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Solution

The third proportional to 85,708 and 186,100 is: 404,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,708 : 186,100 = 186,100 : x
  2. Step 2: Convert to fraction form
    85,708/186,100 = 186,100/x
  3. Step 3: Cross multiply
    85,708x = 186,100 × 186,100
  4. Step 4: Simplify right side
    85,708x = 34,633,210,000
  5. Step 5: Solve for x
    x = 34,633,210,000/85,708
  6. Step 6: Final answer
    x = 404,083.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.