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Finding the Third Proportional to 50,104.69 and 74,913.75

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Solution

The third proportional to 50,104.69 and 74,913.75 is: 112,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,104.69 : 74,913.75 = 74,913.75 : x
  2. Step 2: Convert to fraction form
    50,104.69/74,913.75 = 74,913.75/x
  3. Step 3: Cross multiply
    50,104.69x = 74,913.75 × 74,913.75
  4. Step 4: Simplify right side
    50,104.69x = 5,612,069,939.06
  5. Step 5: Solve for x
    x = 5,612,069,939.06/50,104.69
  6. Step 6: Final answer
    x = 112,006.88

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