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Finding the Third Proportional to 52,879 and 114,469

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Solution

The third proportional to 52,879 and 114,469 is: 247,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,879 : 114,469 = 114,469 : x
  2. Step 2: Convert to fraction form
    52,879/114,469 = 114,469/x
  3. Step 3: Cross multiply
    52,879x = 114,469 × 114,469
  4. Step 4: Simplify right side
    52,879x = 13,103,151,961
  5. Step 5: Solve for x
    x = 13,103,151,961/52,879
  6. Step 6: Final answer
    x = 247,795.00

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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.