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Finding the Third Proportional to 112,003 and 241,816

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Solution

The third proportional to 112,003 and 241,816 is: 522,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,003 : 241,816 = 241,816 : x
  2. Step 2: Convert to fraction form
    112,003/241,816 = 241,816/x
  3. Step 3: Cross multiply
    112,003x = 241,816 × 241,816
  4. Step 4: Simplify right side
    112,003x = 58,474,977,856
  5. Step 5: Solve for x
    x = 58,474,977,856/112,003
  6. Step 6: Final answer
    x = 522,084.03

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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.