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Finding the Third Proportional to 55,481.84 and 119,831.27

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Solution

The third proportional to 55,481.84 and 119,831.27 is: 258,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481.84 : 119,831.27 = 119,831.27 : x
  2. Step 2: Convert to fraction form
    55,481.84/119,831.27 = 119,831.27/x
  3. Step 3: Cross multiply
    55,481.84x = 119,831.27 × 119,831.27
  4. Step 4: Simplify right side
    55,481.84x = 14,359,534,093.65
  5. Step 5: Solve for x
    x = 14,359,534,093.65/55,481.84
  6. Step 6: Final answer
    x = 258,815.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.