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Finding the Third Proportional to 54,729 and 119,839.50

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Solution

The third proportional to 54,729 and 119,839.50 is: 262,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729 : 119,839.50 = 119,839.50 : x
  2. Step 2: Convert to fraction form
    54,729/119,839.50 = 119,839.50/x
  3. Step 3: Cross multiply
    54,729x = 119,839.50 × 119,839.50
  4. Step 4: Simplify right side
    54,729x = 14,361,505,760.25
  5. Step 5: Solve for x
    x = 14,361,505,760.25/54,729
  6. Step 6: Final answer
    x = 262,411.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.