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Finding the Third Proportional to 75,967 and 163,615

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Solution

The third proportional to 75,967 and 163,615 is: 352,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967 : 163,615 = 163,615 : x
  2. Step 2: Convert to fraction form
    75,967/163,615 = 163,615/x
  3. Step 3: Cross multiply
    75,967x = 163,615 × 163,615
  4. Step 4: Simplify right side
    75,967x = 26,769,868,225
  5. Step 5: Solve for x
    x = 26,769,868,225/75,967
  6. Step 6: Final answer
    x = 352,388.12

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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.