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Finding the Third Proportional to 85,874 and 186,534

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Solution

The third proportional to 85,874 and 186,534 is: 405,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874 : 186,534 = 186,534 : x
  2. Step 2: Convert to fraction form
    85,874/186,534 = 186,534/x
  3. Step 3: Cross multiply
    85,874x = 186,534 × 186,534
  4. Step 4: Simplify right side
    85,874x = 34,794,933,156
  5. Step 5: Solve for x
    x = 34,794,933,156/85,874
  6. Step 6: Final answer
    x = 405,185.89

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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.