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Finding the Third Proportional to 112,002.75 and 241,817.91

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Solution

The third proportional to 112,002.75 and 241,817.91 is: 522,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,002.75 : 241,817.91 = 241,817.91 : x
  2. Step 2: Convert to fraction form
    112,002.75/241,817.91 = 241,817.91/x
  3. Step 3: Cross multiply
    112,002.75x = 241,817.91 × 241,817.91
  4. Step 4: Simplify right side
    112,002.75x = 58,475,899,783.13
  5. Step 5: Solve for x
    x = 58,475,899,783.13/112,002.75
  6. Step 6: Final answer
    x = 522,093.43

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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.