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Finding the Third Proportional to 54,610.50 and 119,739

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Solution

The third proportional to 54,610.50 and 119,739 is: 262,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,610.50 : 119,739 = 119,739 : x
  2. Step 2: Convert to fraction form
    54,610.50/119,739 = 119,739/x
  3. Step 3: Cross multiply
    54,610.50x = 119,739 × 119,739
  4. Step 4: Simplify right side
    54,610.50x = 14,337,428,121
  5. Step 5: Solve for x
    x = 14,337,428,121/54,610.50
  6. Step 6: Final answer
    x = 262,539.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.