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Finding the Third Proportional to 51,966 and 114,524

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Solution

The third proportional to 51,966 and 114,524 is: 252,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 114,524 = 114,524 : x
  2. Step 2: Convert to fraction form
    51,966/114,524 = 114,524/x
  3. Step 3: Cross multiply
    51,966x = 114,524 × 114,524
  4. Step 4: Simplify right side
    51,966x = 13,115,746,576
  5. Step 5: Solve for x
    x = 13,115,746,576/51,966
  6. Step 6: Final answer
    x = 252,390.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.