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Finding the Third Proportional to 79,272 and 165,123

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Solution

The third proportional to 79,272 and 165,123 is: 343,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,272 : 165,123 = 165,123 : x
  2. Step 2: Convert to fraction form
    79,272/165,123 = 165,123/x
  3. Step 3: Cross multiply
    79,272x = 165,123 × 165,123
  4. Step 4: Simplify right side
    79,272x = 27,265,605,129
  5. Step 5: Solve for x
    x = 27,265,605,129/79,272
  6. Step 6: Final answer
    x = 343,950.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.