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Finding the Third Proportional to 111,960 and 241,962

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Solution

The third proportional to 111,960 and 241,962 is: 522,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,960 : 241,962 = 241,962 : x
  2. Step 2: Convert to fraction form
    111,960/241,962 = 241,962/x
  3. Step 3: Cross multiply
    111,960x = 241,962 × 241,962
  4. Step 4: Simplify right side
    111,960x = 58,545,609,444
  5. Step 5: Solve for x
    x = 58,545,609,444/111,960
  6. Step 6: Final answer
    x = 522,915.41

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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.