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Finding the Third Proportional to 55,998.84 and 120,904.52

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Solution

The third proportional to 55,998.84 and 120,904.52 is: 261,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998.84 : 120,904.52 = 120,904.52 : x
  2. Step 2: Convert to fraction form
    55,998.84/120,904.52 = 120,904.52/x
  3. Step 3: Cross multiply
    55,998.84x = 120,904.52 × 120,904.52
  4. Step 4: Simplify right side
    55,998.84x = 14,617,903,787.65
  5. Step 5: Solve for x
    x = 14,617,903,787.65/55,998.84
  6. Step 6: Final answer
    x = 261,039.39

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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.