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Finding the Third Proportional to 57,340 and 117,226

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Solution

The third proportional to 57,340 and 117,226 is: 239,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,340 : 117,226 = 117,226 : x
  2. Step 2: Convert to fraction form
    57,340/117,226 = 117,226/x
  3. Step 3: Cross multiply
    57,340x = 117,226 × 117,226
  4. Step 4: Simplify right side
    57,340x = 13,741,935,076
  5. Step 5: Solve for x
    x = 13,741,935,076/57,340
  6. Step 6: Final answer
    x = 239,657.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.