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Finding the Third Proportional to 55,389.75 and 120,804.38

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Solution

The third proportional to 55,389.75 and 120,804.38 is: 263,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,389.75 : 120,804.38 = 120,804.38 : x
  2. Step 2: Convert to fraction form
    55,389.75/120,804.38 = 120,804.38/x
  3. Step 3: Cross multiply
    55,389.75x = 120,804.38 × 120,804.38
  4. Step 4: Simplify right side
    55,389.75x = 14,593,697,019.14
  5. Step 5: Solve for x
    x = 14,593,697,019.14/55,389.75
  6. Step 6: Final answer
    x = 263,472.88

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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.