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Finding the Third Proportional to 54,493.25 and 117,586.13

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Solution

The third proportional to 54,493.25 and 117,586.13 is: 253,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.25 : 117,586.13 = 117,586.13 : x
  2. Step 2: Convert to fraction form
    54,493.25/117,586.13 = 117,586.13/x
  3. Step 3: Cross multiply
    54,493.25x = 117,586.13 × 117,586.13
  4. Step 4: Simplify right side
    54,493.25x = 13,826,496,792.52
  5. Step 5: Solve for x
    x = 13,826,496,792.52/54,493.25
  6. Step 6: Final answer
    x = 253,728.61

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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.