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Finding the Third Proportional to 106,444 and 177,399

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Solution

The third proportional to 106,444 and 177,399 is: 295,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,444 : 177,399 = 177,399 : x
  2. Step 2: Convert to fraction form
    106,444/177,399 = 177,399/x
  3. Step 3: Cross multiply
    106,444x = 177,399 × 177,399
  4. Step 4: Simplify right side
    106,444x = 31,470,405,201
  5. Step 5: Solve for x
    x = 31,470,405,201/106,444
  6. Step 6: Final answer
    x = 295,652.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.