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Finding the Third Proportional to 84,928.50 and 187,170.75

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Solution

The third proportional to 84,928.50 and 187,170.75 is: 412,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928.50 : 187,170.75 = 187,170.75 : x
  2. Step 2: Convert to fraction form
    84,928.50/187,170.75 = 187,170.75/x
  3. Step 3: Cross multiply
    84,928.50x = 187,170.75 × 187,170.75
  4. Step 4: Simplify right side
    84,928.50x = 35,032,889,655.56
  5. Step 5: Solve for x
    x = 35,032,889,655.56/84,928.50
  6. Step 6: Final answer
    x = 412,498.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.