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Finding the Third Proportional to 54,983.18 and 119,807.86

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Solution

The third proportional to 54,983.18 and 119,807.86 is: 261,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,983.18 : 119,807.86 = 119,807.86 : x
  2. Step 2: Convert to fraction form
    54,983.18/119,807.86 = 119,807.86/x
  3. Step 3: Cross multiply
    54,983.18x = 119,807.86 × 119,807.86
  4. Step 4: Simplify right side
    54,983.18x = 14,353,923,168.02
  5. Step 5: Solve for x
    x = 14,353,923,168.02/54,983.18
  6. Step 6: Final answer
    x = 261,060.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.