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Finding the Third Proportional to 107,022 and 165,617

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Solution

The third proportional to 107,022 and 165,617 is: 256,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,022 : 165,617 = 165,617 : x
  2. Step 2: Convert to fraction form
    107,022/165,617 = 165,617/x
  3. Step 3: Cross multiply
    107,022x = 165,617 × 165,617
  4. Step 4: Simplify right side
    107,022x = 27,428,990,689
  5. Step 5: Solve for x
    x = 27,428,990,689/107,022
  6. Step 6: Final answer
    x = 256,293.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.