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Finding the Third Proportional to 85,722.75 and 188,057.25

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Solution

The third proportional to 85,722.75 and 188,057.25 is: 412,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,722.75 : 188,057.25 = 188,057.25 : x
  2. Step 2: Convert to fraction form
    85,722.75/188,057.25 = 188,057.25/x
  3. Step 3: Cross multiply
    85,722.75x = 188,057.25 × 188,057.25
  4. Step 4: Simplify right side
    85,722.75x = 35,365,529,277.56
  5. Step 5: Solve for x
    x = 35,365,529,277.56/85,722.75
  6. Step 6: Final answer
    x = 412,557.10

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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.