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Finding the Third Proportional to 75,336.75 and 102,316.92

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Solution

The third proportional to 75,336.75 and 102,316.92 is: 138,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336.75 : 102,316.92 = 102,316.92 : x
  2. Step 2: Convert to fraction form
    75,336.75/102,316.92 = 102,316.92/x
  3. Step 3: Cross multiply
    75,336.75x = 102,316.92 × 102,316.92
  4. Step 4: Simplify right side
    75,336.75x = 10,468,752,501.97
  5. Step 5: Solve for x
    x = 10,468,752,501.97/75,336.75
  6. Step 6: Final answer
    x = 138,959.44

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