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Finding the Third Proportional to 84,751 and 188,089

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Solution

The third proportional to 84,751 and 188,089 is: 417,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751 : 188,089 = 188,089 : x
  2. Step 2: Convert to fraction form
    84,751/188,089 = 188,089/x
  3. Step 3: Cross multiply
    84,751x = 188,089 × 188,089
  4. Step 4: Simplify right side
    84,751x = 35,377,471,921
  5. Step 5: Solve for x
    x = 35,377,471,921/84,751
  6. Step 6: Final answer
    x = 417,428.37

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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.