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Finding the Third Proportional to 49,951.69 and 75,345.19

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Solution

The third proportional to 49,951.69 and 75,345.19 is: 113,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951.69 : 75,345.19 = 75,345.19 : x
  2. Step 2: Convert to fraction form
    49,951.69/75,345.19 = 75,345.19/x
  3. Step 3: Cross multiply
    49,951.69x = 75,345.19 × 75,345.19
  4. Step 4: Simplify right side
    49,951.69x = 5,676,897,279.41
  5. Step 5: Solve for x
    x = 5,676,897,279.41/49,951.69
  6. Step 6: Final answer
    x = 113,647.76

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