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Finding the Third Proportional to 84,755 and 188,097

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Solution

The third proportional to 84,755 and 188,097 is: 417,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,755 : 188,097 = 188,097 : x
  2. Step 2: Convert to fraction form
    84,755/188,097 = 188,097/x
  3. Step 3: Cross multiply
    84,755x = 188,097 × 188,097
  4. Step 4: Simplify right side
    84,755x = 35,380,481,409
  5. Step 5: Solve for x
    x = 35,380,481,409/84,755
  6. Step 6: Final answer
    x = 417,444.18

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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.