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Finding the Third Proportional to 101,811 and 168,711

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Solution

The third proportional to 101,811 and 168,711 is: 279,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811 : 168,711 = 168,711 : x
  2. Step 2: Convert to fraction form
    101,811/168,711 = 168,711/x
  3. Step 3: Cross multiply
    101,811x = 168,711 × 168,711
  4. Step 4: Simplify right side
    101,811x = 28,463,401,521
  5. Step 5: Solve for x
    x = 28,463,401,521/101,811
  6. Step 6: Final answer
    x = 279,570.98

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.