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Finding the Third Proportional to 79,341 and 171,742

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Solution

The third proportional to 79,341 and 171,742 is: 371,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,341 : 171,742 = 171,742 : x
  2. Step 2: Convert to fraction form
    79,341/171,742 = 171,742/x
  3. Step 3: Cross multiply
    79,341x = 171,742 × 171,742
  4. Step 4: Simplify right side
    79,341x = 29,495,314,564
  5. Step 5: Solve for x
    x = 29,495,314,564/79,341
  6. Step 6: Final answer
    x = 371,753.75

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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.