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Finding the Third Proportional to 111,791 and 164,122

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Solution

The third proportional to 111,791 and 164,122 is: 240,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,791 : 164,122 = 164,122 : x
  2. Step 2: Convert to fraction form
    111,791/164,122 = 164,122/x
  3. Step 3: Cross multiply
    111,791x = 164,122 × 164,122
  4. Step 4: Simplify right side
    111,791x = 26,936,030,884
  5. Step 5: Solve for x
    x = 26,936,030,884/111,791
  6. Step 6: Final answer
    x = 240,949.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.