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Finding the Third Proportional to 107,712 and 251,568

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Solution

The third proportional to 107,712 and 251,568 is: 587,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712 : 251,568 = 251,568 : x
  2. Step 2: Convert to fraction form
    107,712/251,568 = 251,568/x
  3. Step 3: Cross multiply
    107,712x = 251,568 × 251,568
  4. Step 4: Simplify right side
    107,712x = 63,286,458,624
  5. Step 5: Solve for x
    x = 63,286,458,624/107,712
  6. Step 6: Final answer
    x = 587,552.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.