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Finding the Third Proportional to 75,132 and 162,296

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Solution

The third proportional to 75,132 and 162,296 is: 350,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 162,296 = 162,296 : x
  2. Step 2: Convert to fraction form
    75,132/162,296 = 162,296/x
  3. Step 3: Cross multiply
    75,132x = 162,296 × 162,296
  4. Step 4: Simplify right side
    75,132x = 26,339,991,616
  5. Step 5: Solve for x
    x = 26,339,991,616/75,132
  6. Step 6: Final answer
    x = 350,582.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.