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Finding the Third Proportional to 91,125 and 188,244

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Solution

The third proportional to 91,125 and 188,244 is: 388,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,125 : 188,244 = 188,244 : x
  2. Step 2: Convert to fraction form
    91,125/188,244 = 188,244/x
  3. Step 3: Cross multiply
    91,125x = 188,244 × 188,244
  4. Step 4: Simplify right side
    91,125x = 35,435,803,536
  5. Step 5: Solve for x
    x = 35,435,803,536/91,125
  6. Step 6: Final answer
    x = 388,870.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.