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Finding the Third Proportional to 54,583.88 and 119,318.06

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Solution

The third proportional to 54,583.88 and 119,318.06 is: 260,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.88 : 119,318.06 = 119,318.06 : x
  2. Step 2: Convert to fraction form
    54,583.88/119,318.06 = 119,318.06/x
  3. Step 3: Cross multiply
    54,583.88x = 119,318.06 × 119,318.06
  4. Step 4: Simplify right side
    54,583.88x = 14,236,800,038.75
  5. Step 5: Solve for x
    x = 14,236,800,038.75/54,583.88
  6. Step 6: Final answer
    x = 260,824.28

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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.