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Finding the Third Proportional to 75,373.88 and 102,365.44

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Solution

The third proportional to 75,373.88 and 102,365.44 is: 139,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,373.88 : 102,365.44 = 102,365.44 : x
  2. Step 2: Convert to fraction form
    75,373.88/102,365.44 = 102,365.44/x
  3. Step 3: Cross multiply
    75,373.88x = 102,365.44 × 102,365.44
  4. Step 4: Simplify right side
    75,373.88x = 10,478,682,794.57
  5. Step 5: Solve for x
    x = 10,478,682,794.57/75,373.88
  6. Step 6: Final answer
    x = 139,022.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.