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Finding the Third Proportional to 54,264.94 and 113,911.95

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Solution

The third proportional to 54,264.94 and 113,911.95 is: 239,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264.94 : 113,911.95 = 113,911.95 : x
  2. Step 2: Convert to fraction form
    54,264.94/113,911.95 = 113,911.95/x
  3. Step 3: Cross multiply
    54,264.94x = 113,911.95 × 113,911.95
  4. Step 4: Simplify right side
    54,264.94x = 12,975,931,284.88
  5. Step 5: Solve for x
    x = 12,975,931,284.88/54,264.94
  6. Step 6: Final answer
    x = 239,121.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.