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Finding the Third Proportional to 54,589.50 and 115,740.28

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Solution

The third proportional to 54,589.50 and 115,740.28 is: 245,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589.50 : 115,740.28 = 115,740.28 : x
  2. Step 2: Convert to fraction form
    54,589.50/115,740.28 = 115,740.28/x
  3. Step 3: Cross multiply
    54,589.50x = 115,740.28 × 115,740.28
  4. Step 4: Simplify right side
    54,589.50x = 13,395,812,703.83
  5. Step 5: Solve for x
    x = 13,395,812,703.83/54,589.50
  6. Step 6: Final answer
    x = 245,391.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.