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Finding the Third Proportional to 42,529 and 90,434

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Solution

The third proportional to 42,529 and 90,434 is: 192,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,529 : 90,434 = 90,434 : x
  2. Step 2: Convert to fraction form
    42,529/90,434 = 90,434/x
  3. Step 3: Cross multiply
    42,529x = 90,434 × 90,434
  4. Step 4: Simplify right side
    42,529x = 8,178,308,356
  5. Step 5: Solve for x
    x = 8,178,308,356/42,529
  6. Step 6: Final answer
    x = 192,299.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.