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Finding the Third Proportional to 75,652.50 and 113,805

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Solution

The third proportional to 75,652.50 and 113,805 is: 171,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,652.50 : 113,805 = 113,805 : x
  2. Step 2: Convert to fraction form
    75,652.50/113,805 = 113,805/x
  3. Step 3: Cross multiply
    75,652.50x = 113,805 × 113,805
  4. Step 4: Simplify right side
    75,652.50x = 12,951,578,025
  5. Step 5: Solve for x
    x = 12,951,578,025/75,652.50
  6. Step 6: Final answer
    x = 171,198.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.