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Finding the Third Proportional to 54,233 and 116,789

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Solution

The third proportional to 54,233 and 116,789 is: 251,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,233 : 116,789 = 116,789 : x
  2. Step 2: Convert to fraction form
    54,233/116,789 = 116,789/x
  3. Step 3: Cross multiply
    54,233x = 116,789 × 116,789
  4. Step 4: Simplify right side
    54,233x = 13,639,670,521
  5. Step 5: Solve for x
    x = 13,639,670,521/54,233
  6. Step 6: Final answer
    x = 251,501.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.