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Finding the Third Proportional to 42,529 and 91,558

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Solution

The third proportional to 42,529 and 91,558 is: 197,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,529 : 91,558 = 91,558 : x
  2. Step 2: Convert to fraction form
    42,529/91,558 = 91,558/x
  3. Step 3: Cross multiply
    42,529x = 91,558 × 91,558
  4. Step 4: Simplify right side
    42,529x = 8,382,867,364
  5. Step 5: Solve for x
    x = 8,382,867,364/42,529
  6. Step 6: Final answer
    x = 197,109.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.