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Finding the Third Proportional to 54,452.63 and 82,499.63

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Solution

The third proportional to 54,452.63 and 82,499.63 is: 124,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.63 : 82,499.63 = 82,499.63 : x
  2. Step 2: Convert to fraction form
    54,452.63/82,499.63 = 82,499.63/x
  3. Step 3: Cross multiply
    54,452.63x = 82,499.63 × 82,499.63
  4. Step 4: Simplify right side
    54,452.63x = 6,806,188,125.14
  5. Step 5: Solve for x
    x = 6,806,188,125.14/54,452.63
  6. Step 6: Final answer
    x = 124,992.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.