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Finding the Third Proportional to 107,062 and 230,568

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Solution

The third proportional to 107,062 and 230,568 is: 496,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,062 : 230,568 = 230,568 : x
  2. Step 2: Convert to fraction form
    107,062/230,568 = 230,568/x
  3. Step 3: Cross multiply
    107,062x = 230,568 × 230,568
  4. Step 4: Simplify right side
    107,062x = 53,161,602,624
  5. Step 5: Solve for x
    x = 53,161,602,624/107,062
  6. Step 6: Final answer
    x = 496,549.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.