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Finding the Third Proportional to 43,472 and 66,119

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Solution

The third proportional to 43,472 and 66,119 is: 100,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,472 : 66,119 = 66,119 : x
  2. Step 2: Convert to fraction form
    43,472/66,119 = 66,119/x
  3. Step 3: Cross multiply
    43,472x = 66,119 × 66,119
  4. Step 4: Simplify right side
    43,472x = 4,371,722,161
  5. Step 5: Solve for x
    x = 4,371,722,161/43,472
  6. Step 6: Final answer
    x = 100,564.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.