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Finding the Third Proportional to 79,252 and 165,146

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Solution

The third proportional to 79,252 and 165,146 is: 344,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,252 : 165,146 = 165,146 : x
  2. Step 2: Convert to fraction form
    79,252/165,146 = 165,146/x
  3. Step 3: Cross multiply
    79,252x = 165,146 × 165,146
  4. Step 4: Simplify right side
    79,252x = 27,273,201,316
  5. Step 5: Solve for x
    x = 27,273,201,316/79,252
  6. Step 6: Final answer
    x = 344,132.66

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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.