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Finding the Third Proportional to 52,881 and 114,474

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Solution

The third proportional to 52,881 and 114,474 is: 247,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,881 : 114,474 = 114,474 : x
  2. Step 2: Convert to fraction form
    52,881/114,474 = 114,474/x
  3. Step 3: Cross multiply
    52,881x = 114,474 × 114,474
  4. Step 4: Simplify right side
    52,881x = 13,104,296,676
  5. Step 5: Solve for x
    x = 13,104,296,676/52,881
  6. Step 6: Final answer
    x = 247,807.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.