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Finding the Third Proportional to 43,536 and 95,274

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Solution

The third proportional to 43,536 and 95,274 is: 208,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,536 : 95,274 = 95,274 : x
  2. Step 2: Convert to fraction form
    43,536/95,274 = 95,274/x
  3. Step 3: Cross multiply
    43,536x = 95,274 × 95,274
  4. Step 4: Simplify right side
    43,536x = 9,077,135,076
  5. Step 5: Solve for x
    x = 9,077,135,076/43,536
  6. Step 6: Final answer
    x = 208,497.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.