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Finding the Third Proportional to 107,161 and 229,084

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Solution

The third proportional to 107,161 and 229,084 is: 489,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,161 : 229,084 = 229,084 : x
  2. Step 2: Convert to fraction form
    107,161/229,084 = 229,084/x
  3. Step 3: Cross multiply
    107,161x = 229,084 × 229,084
  4. Step 4: Simplify right side
    107,161x = 52,479,479,056
  5. Step 5: Solve for x
    x = 52,479,479,056/107,161
  6. Step 6: Final answer
    x = 489,725.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.