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Finding the Third Proportional to 52,392 and 113,529

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Solution

The third proportional to 52,392 and 113,529 is: 246,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392 : 113,529 = 113,529 : x
  2. Step 2: Convert to fraction form
    52,392/113,529 = 113,529/x
  3. Step 3: Cross multiply
    52,392x = 113,529 × 113,529
  4. Step 4: Simplify right side
    52,392x = 12,888,833,841
  5. Step 5: Solve for x
    x = 12,888,833,841/52,392
  6. Step 6: Final answer
    x = 246,007.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.