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Finding the Third Proportional to 54,958.50 and 117,024.75

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Solution

The third proportional to 54,958.50 and 117,024.75 is: 249,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958.50 : 117,024.75 = 117,024.75 : x
  2. Step 2: Convert to fraction form
    54,958.50/117,024.75 = 117,024.75/x
  3. Step 3: Cross multiply
    54,958.50x = 117,024.75 × 117,024.75
  4. Step 4: Simplify right side
    54,958.50x = 13,694,792,112.56
  5. Step 5: Solve for x
    x = 13,694,792,112.56/54,958.50
  6. Step 6: Final answer
    x = 249,184.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.