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Finding the Third Proportional to 51,066 and 71,496

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Solution

The third proportional to 51,066 and 71,496 is: 100,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066 : 71,496 = 71,496 : x
  2. Step 2: Convert to fraction form
    51,066/71,496 = 71,496/x
  3. Step 3: Cross multiply
    51,066x = 71,496 × 71,496
  4. Step 4: Simplify right side
    51,066x = 5,111,678,016
  5. Step 5: Solve for x
    x = 5,111,678,016/51,066
  6. Step 6: Final answer
    x = 100,099.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.