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Finding the Third Proportional to 54,901.50 and 90,867

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Solution

The third proportional to 54,901.50 and 90,867 is: 150,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.50 : 90,867 = 90,867 : x
  2. Step 2: Convert to fraction form
    54,901.50/90,867 = 90,867/x
  3. Step 3: Cross multiply
    54,901.50x = 90,867 × 90,867
  4. Step 4: Simplify right side
    54,901.50x = 8,256,811,689
  5. Step 5: Solve for x
    x = 8,256,811,689/54,901.50
  6. Step 6: Final answer
    x = 150,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.