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Finding the Third Proportional to 75,423.84 and 103,896.66

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Solution

The third proportional to 75,423.84 and 103,896.66 is: 143,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,423.84 : 103,896.66 = 103,896.66 : x
  2. Step 2: Convert to fraction form
    75,423.84/103,896.66 = 103,896.66/x
  3. Step 3: Cross multiply
    75,423.84x = 103,896.66 × 103,896.66
  4. Step 4: Simplify right side
    75,423.84x = 10,794,515,179.93
  5. Step 5: Solve for x
    x = 10,794,515,179.93/75,423.84
  6. Step 6: Final answer
    x = 143,118.07

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