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Finding the Third Proportional to 107,309 and 159,694

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Solution

The third proportional to 107,309 and 159,694 is: 237,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309 : 159,694 = 159,694 : x
  2. Step 2: Convert to fraction form
    107,309/159,694 = 159,694/x
  3. Step 3: Cross multiply
    107,309x = 159,694 × 159,694
  4. Step 4: Simplify right side
    107,309x = 25,502,173,636
  5. Step 5: Solve for x
    x = 25,502,173,636/107,309
  6. Step 6: Final answer
    x = 237,651.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.