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Finding the Third Proportional to 43,472 and 95,257

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Solution

The third proportional to 43,472 and 95,257 is: 208,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,472 : 95,257 = 95,257 : x
  2. Step 2: Convert to fraction form
    43,472/95,257 = 95,257/x
  3. Step 3: Cross multiply
    43,472x = 95,257 × 95,257
  4. Step 4: Simplify right side
    43,472x = 9,073,896,049
  5. Step 5: Solve for x
    x = 9,073,896,049/43,472
  6. Step 6: Final answer
    x = 208,729.67

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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.