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Finding the Third Proportional to 107,028 and 164,568

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Solution

The third proportional to 107,028 and 164,568 is: 253,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,028 : 164,568 = 164,568 : x
  2. Step 2: Convert to fraction form
    107,028/164,568 = 164,568/x
  3. Step 3: Cross multiply
    107,028x = 164,568 × 164,568
  4. Step 4: Simplify right side
    107,028x = 27,082,626,624
  5. Step 5: Solve for x
    x = 27,082,626,624/107,028
  6. Step 6: Final answer
    x = 253,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.