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Finding the Third Proportional to 102,165.50 and 201,711

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Solution

The third proportional to 102,165.50 and 201,711 is: 398,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.50 : 201,711 = 201,711 : x
  2. Step 2: Convert to fraction form
    102,165.50/201,711 = 201,711/x
  3. Step 3: Cross multiply
    102,165.50x = 201,711 × 201,711
  4. Step 4: Simplify right side
    102,165.50x = 40,687,327,521
  5. Step 5: Solve for x
    x = 40,687,327,521/102,165.50
  6. Step 6: Final answer
    x = 398,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.