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Finding the Third Proportional to 79,542 and 170,019

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Solution

The third proportional to 79,542 and 170,019 is: 363,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,542 : 170,019 = 170,019 : x
  2. Step 2: Convert to fraction form
    79,542/170,019 = 170,019/x
  3. Step 3: Cross multiply
    79,542x = 170,019 × 170,019
  4. Step 4: Simplify right side
    79,542x = 28,906,460,361
  5. Step 5: Solve for x
    x = 28,906,460,361/79,542
  6. Step 6: Final answer
    x = 363,411.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.