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Finding the Third Proportional to 49,540.50 and 86,460.75

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Solution

The third proportional to 49,540.50 and 86,460.75 is: 150,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,540.50 : 86,460.75 = 86,460.75 : x
  2. Step 2: Convert to fraction form
    49,540.50/86,460.75 = 86,460.75/x
  3. Step 3: Cross multiply
    49,540.50x = 86,460.75 × 86,460.75
  4. Step 4: Simplify right side
    49,540.50x = 7,475,461,290.56
  5. Step 5: Solve for x
    x = 7,475,461,290.56/49,540.50
  6. Step 6: Final answer
    x = 150,895.96

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.