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Finding the Third Proportional to 47,040.75 and 113,772.94

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Solution

The third proportional to 47,040.75 and 113,772.94 is: 275,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,040.75 : 113,772.94 = 113,772.94 : x
  2. Step 2: Convert to fraction form
    47,040.75/113,772.94 = 113,772.94/x
  3. Step 3: Cross multiply
    47,040.75x = 113,772.94 × 113,772.94
  4. Step 4: Simplify right side
    47,040.75x = 12,944,281,307.38
  5. Step 5: Solve for x
    x = 12,944,281,307.38/47,040.75
  6. Step 6: Final answer
    x = 275,171.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.