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Finding the Third Proportional to 84,749.25 and 188,085

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Solution

The third proportional to 84,749.25 and 188,085 is: 417,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,749.25 : 188,085 = 188,085 : x
  2. Step 2: Convert to fraction form
    84,749.25/188,085 = 188,085/x
  3. Step 3: Cross multiply
    84,749.25x = 188,085 × 188,085
  4. Step 4: Simplify right side
    84,749.25x = 35,375,967,225
  5. Step 5: Solve for x
    x = 35,375,967,225/84,749.25
  6. Step 6: Final answer
    x = 417,419.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.