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Finding the Third Proportional to 85,500 and 187,092

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Solution

The third proportional to 85,500 and 187,092 is: 409,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500 : 187,092 = 187,092 : x
  2. Step 2: Convert to fraction form
    85,500/187,092 = 187,092/x
  3. Step 3: Cross multiply
    85,500x = 187,092 × 187,092
  4. Step 4: Simplify right side
    85,500x = 35,003,416,464
  5. Step 5: Solve for x
    x = 35,003,416,464/85,500
  6. Step 6: Final answer
    x = 409,396.68

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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.