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Finding the Third Proportional to 102,822 and 155,529

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Solution

The third proportional to 102,822 and 155,529 is: 235,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,822 : 155,529 = 155,529 : x
  2. Step 2: Convert to fraction form
    102,822/155,529 = 155,529/x
  3. Step 3: Cross multiply
    102,822x = 155,529 × 155,529
  4. Step 4: Simplify right side
    102,822x = 24,189,269,841
  5. Step 5: Solve for x
    x = 24,189,269,841/102,822
  6. Step 6: Final answer
    x = 235,253.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.