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Finding the Third Proportional to 78,811 and 171,019

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Solution

The third proportional to 78,811 and 171,019 is: 371,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811 : 171,019 = 171,019 : x
  2. Step 2: Convert to fraction form
    78,811/171,019 = 171,019/x
  3. Step 3: Cross multiply
    78,811x = 171,019 × 171,019
  4. Step 4: Simplify right side
    78,811x = 29,247,498,361
  5. Step 5: Solve for x
    x = 29,247,498,361/78,811
  6. Step 6: Final answer
    x = 371,109.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.