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Finding the Third Proportional to 55,137.56 and 119,608.50

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Solution

The third proportional to 55,137.56 and 119,608.50 is: 259,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.56 : 119,608.50 = 119,608.50 : x
  2. Step 2: Convert to fraction form
    55,137.56/119,608.50 = 119,608.50/x
  3. Step 3: Cross multiply
    55,137.56x = 119,608.50 × 119,608.50
  4. Step 4: Simplify right side
    55,137.56x = 14,306,193,272.25
  5. Step 5: Solve for x
    x = 14,306,193,272.25/55,137.56
  6. Step 6: Final answer
    x = 259,463.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.