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Finding the Third Proportional to 111,467 and 241,113

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Solution

The third proportional to 111,467 and 241,113 is: 521,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,467 : 241,113 = 241,113 : x
  2. Step 2: Convert to fraction form
    111,467/241,113 = 241,113/x
  3. Step 3: Cross multiply
    111,467x = 241,113 × 241,113
  4. Step 4: Simplify right side
    111,467x = 58,135,478,769
  5. Step 5: Solve for x
    x = 58,135,478,769/111,467
  6. Step 6: Final answer
    x = 521,548.79

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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.