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Finding the Third Proportional to 111,966 and 241,986

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Solution

The third proportional to 111,966 and 241,986 is: 522,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966 : 241,986 = 241,986 : x
  2. Step 2: Convert to fraction form
    111,966/241,986 = 241,986/x
  3. Step 3: Cross multiply
    111,966x = 241,986 × 241,986
  4. Step 4: Simplify right side
    111,966x = 58,557,224,196
  5. Step 5: Solve for x
    x = 58,557,224,196/111,966
  6. Step 6: Final answer
    x = 522,991.12

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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.