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Finding the Third Proportional to 113,874.75 and 241,759.13

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Solution

The third proportional to 113,874.75 and 241,759.13 is: 513,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874.75 : 241,759.13 = 241,759.13 : x
  2. Step 2: Convert to fraction form
    113,874.75/241,759.13 = 241,759.13/x
  3. Step 3: Cross multiply
    113,874.75x = 241,759.13 × 241,759.13
  4. Step 4: Simplify right side
    113,874.75x = 58,447,474,520.77
  5. Step 5: Solve for x
    x = 58,447,474,520.77/113,874.75
  6. Step 6: Final answer
    x = 513,261.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.