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Finding the Third Proportional to 75,750 and 165,168

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Solution

The third proportional to 75,750 and 165,168 is: 360,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,750 : 165,168 = 165,168 : x
  2. Step 2: Convert to fraction form
    75,750/165,168 = 165,168/x
  3. Step 3: Cross multiply
    75,750x = 165,168 × 165,168
  4. Step 4: Simplify right side
    75,750x = 27,280,468,224
  5. Step 5: Solve for x
    x = 27,280,468,224/75,750
  6. Step 6: Final answer
    x = 360,138.19

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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.