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Finding the Third Proportional to 85,504 and 187,100

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Solution

The third proportional to 85,504 and 187,100 is: 409,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,504 : 187,100 = 187,100 : x
  2. Step 2: Convert to fraction form
    85,504/187,100 = 187,100/x
  3. Step 3: Cross multiply
    85,504x = 187,100 × 187,100
  4. Step 4: Simplify right side
    85,504x = 35,006,410,000
  5. Step 5: Solve for x
    x = 35,006,410,000/85,504
  6. Step 6: Final answer
    x = 409,412.54

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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.