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Finding the Third Proportional to 54,481.88 and 82,537.88

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Solution

The third proportional to 54,481.88 and 82,537.88 is: 125,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,481.88 : 82,537.88 = 82,537.88 : x
  2. Step 2: Convert to fraction form
    54,481.88/82,537.88 = 82,537.88/x
  3. Step 3: Cross multiply
    54,481.88x = 82,537.88 × 82,537.88
  4. Step 4: Simplify right side
    54,481.88x = 6,812,500,809.52
  5. Step 5: Solve for x
    x = 6,812,500,809.52/54,481.88
  6. Step 6: Final answer
    x = 125,041.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.