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Finding the Third Proportional to 54,914.63 and 82,366.88

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Solution

The third proportional to 54,914.63 and 82,366.88 is: 123,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914.63 : 82,366.88 = 82,366.88 : x
  2. Step 2: Convert to fraction form
    54,914.63/82,366.88 = 82,366.88/x
  3. Step 3: Cross multiply
    54,914.63x = 82,366.88 × 82,366.88
  4. Step 4: Simplify right side
    54,914.63x = 6,784,302,097.27
  5. Step 5: Solve for x
    x = 6,784,302,097.27/54,914.63
  6. Step 6: Final answer
    x = 123,542.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.