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Finding the Third Proportional to 42,442 and 89,529

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Solution

The third proportional to 42,442 and 89,529 is: 188,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,442 : 89,529 = 89,529 : x
  2. Step 2: Convert to fraction form
    42,442/89,529 = 89,529/x
  3. Step 3: Cross multiply
    42,442x = 89,529 × 89,529
  4. Step 4: Simplify right side
    42,442x = 8,015,441,841
  5. Step 5: Solve for x
    x = 8,015,441,841/42,442
  6. Step 6: Final answer
    x = 188,856.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.