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Finding the Third Proportional to 43,200 and 95,472

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Solution

The third proportional to 43,200 and 95,472 is: 210,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 95,472 = 95,472 : x
  2. Step 2: Convert to fraction form
    43,200/95,472 = 95,472/x
  3. Step 3: Cross multiply
    43,200x = 95,472 × 95,472
  4. Step 4: Simplify right side
    43,200x = 9,114,902,784
  5. Step 5: Solve for x
    x = 9,114,902,784/43,200
  6. Step 6: Final answer
    x = 210,993.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.