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Finding the Third Proportional to 53,758.69 and 75,183.19

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Solution

The third proportional to 53,758.69 and 75,183.19 is: 105,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758.69 : 75,183.19 = 75,183.19 : x
  2. Step 2: Convert to fraction form
    53,758.69/75,183.19 = 75,183.19/x
  3. Step 3: Cross multiply
    53,758.69x = 75,183.19 × 75,183.19
  4. Step 4: Simplify right side
    53,758.69x = 5,652,511,682.66
  5. Step 5: Solve for x
    x = 5,652,511,682.66/53,758.69
  6. Step 6: Final answer
    x = 105,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.