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Finding the Third Proportional to 75,979.62 and 165,337.73

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Solution

The third proportional to 75,979.62 and 165,337.73 is: 359,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,979.62 : 165,337.73 = 165,337.73 : x
  2. Step 2: Convert to fraction form
    75,979.62/165,337.73 = 165,337.73/x
  3. Step 3: Cross multiply
    75,979.62x = 165,337.73 × 165,337.73
  4. Step 4: Simplify right side
    75,979.62x = 27,336,566,408.26
  5. Step 5: Solve for x
    x = 27,336,566,408.26/75,979.62
  6. Step 6: Final answer
    x = 359,788.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.