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Finding the Third Proportional to 84,240 and 187,161

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Solution

The third proportional to 84,240 and 187,161 is: 415,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240 : 187,161 = 187,161 : x
  2. Step 2: Convert to fraction form
    84,240/187,161 = 187,161/x
  3. Step 3: Cross multiply
    84,240x = 187,161 × 187,161
  4. Step 4: Simplify right side
    84,240x = 35,029,239,921
  5. Step 5: Solve for x
    x = 35,029,239,921/84,240
  6. Step 6: Final answer
    x = 415,826.68

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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.