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Finding the Third Proportional to 85,578 and 186,200

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Solution

The third proportional to 85,578 and 186,200 is: 405,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,578 : 186,200 = 186,200 : x
  2. Step 2: Convert to fraction form
    85,578/186,200 = 186,200/x
  3. Step 3: Cross multiply
    85,578x = 186,200 × 186,200
  4. Step 4: Simplify right side
    85,578x = 34,670,440,000
  5. Step 5: Solve for x
    x = 34,670,440,000/85,578
  6. Step 6: Final answer
    x = 405,132.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.