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Finding the Third Proportional to 51,084.11 and 111,645.21

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Solution

The third proportional to 51,084.11 and 111,645.21 is: 244,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084.11 : 111,645.21 = 111,645.21 : x
  2. Step 2: Convert to fraction form
    51,084.11/111,645.21 = 111,645.21/x
  3. Step 3: Cross multiply
    51,084.11x = 111,645.21 × 111,645.21
  4. Step 4: Simplify right side
    51,084.11x = 12,464,653,125.28
  5. Step 5: Solve for x
    x = 12,464,653,125.28/51,084.11
  6. Step 6: Final answer
    x = 244,002.57

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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.