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Finding the Third Proportional to 48,736.69 and 75,223.69

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Solution

The third proportional to 48,736.69 and 75,223.69 is: 116,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736.69 : 75,223.69 = 75,223.69 : x
  2. Step 2: Convert to fraction form
    48,736.69/75,223.69 = 75,223.69/x
  3. Step 3: Cross multiply
    48,736.69x = 75,223.69 × 75,223.69
  4. Step 4: Simplify right side
    48,736.69x = 5,658,603,161.10
  5. Step 5: Solve for x
    x = 5,658,603,161.10/48,736.69
  6. Step 6: Final answer
    x = 116,105.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.