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Finding the Third Proportional to 54,747 and 118,491

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Solution

The third proportional to 54,747 and 118,491 is: 256,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747 : 118,491 = 118,491 : x
  2. Step 2: Convert to fraction form
    54,747/118,491 = 118,491/x
  3. Step 3: Cross multiply
    54,747x = 118,491 × 118,491
  4. Step 4: Simplify right side
    54,747x = 14,040,117,081
  5. Step 5: Solve for x
    x = 14,040,117,081/54,747
  6. Step 6: Final answer
    x = 256,454.55

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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.