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Finding the Third Proportional to 51,481.50 and 94,419.50

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Solution

The third proportional to 51,481.50 and 94,419.50 is: 173,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481.50 : 94,419.50 = 94,419.50 : x
  2. Step 2: Convert to fraction form
    51,481.50/94,419.50 = 94,419.50/x
  3. Step 3: Cross multiply
    51,481.50x = 94,419.50 × 94,419.50
  4. Step 4: Simplify right side
    51,481.50x = 8,915,041,980.25
  5. Step 5: Solve for x
    x = 8,915,041,980.25/51,481.50
  6. Step 6: Final answer
    x = 173,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.