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Finding the Third Proportional to 54,909 and 114,583

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Solution

The third proportional to 54,909 and 114,583 is: 239,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909 : 114,583 = 114,583 : x
  2. Step 2: Convert to fraction form
    54,909/114,583 = 114,583/x
  3. Step 3: Cross multiply
    54,909x = 114,583 × 114,583
  4. Step 4: Simplify right side
    54,909x = 13,129,263,889
  5. Step 5: Solve for x
    x = 13,129,263,889/54,909
  6. Step 6: Final answer
    x = 239,109.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.