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Finding the Third Proportional to 75,456.50 and 102,112.75

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Solution

The third proportional to 75,456.50 and 102,112.75 is: 138,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456.50 : 102,112.75 = 102,112.75 : x
  2. Step 2: Convert to fraction form
    75,456.50/102,112.75 = 102,112.75/x
  3. Step 3: Cross multiply
    75,456.50x = 102,112.75 × 102,112.75
  4. Step 4: Simplify right side
    75,456.50x = 10,427,013,712.56
  5. Step 5: Solve for x
    x = 10,427,013,712.56/75,456.50
  6. Step 6: Final answer
    x = 138,185.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.