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Finding the Third Proportional to 54,349.88 and 75,099.47

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Solution

The third proportional to 54,349.88 and 75,099.47 is: 103,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,349.88 : 75,099.47 = 75,099.47 : x
  2. Step 2: Convert to fraction form
    54,349.88/75,099.47 = 75,099.47/x
  3. Step 3: Cross multiply
    54,349.88x = 75,099.47 × 75,099.47
  4. Step 4: Simplify right side
    54,349.88x = 5,639,930,206.53
  5. Step 5: Solve for x
    x = 5,639,930,206.53/54,349.88
  6. Step 6: Final answer
    x = 103,770.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.