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Finding the Third Proportional to 52,298 and 113,662

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Solution

The third proportional to 52,298 and 113,662 is: 247,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298 : 113,662 = 113,662 : x
  2. Step 2: Convert to fraction form
    52,298/113,662 = 113,662/x
  3. Step 3: Cross multiply
    52,298x = 113,662 × 113,662
  4. Step 4: Simplify right side
    52,298x = 12,919,050,244
  5. Step 5: Solve for x
    x = 12,919,050,244/52,298
  6. Step 6: Final answer
    x = 247,027.62

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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.