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Finding the Third Proportional to 111,538 and 159,001

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Solution

The third proportional to 111,538 and 159,001 is: 226,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,538 : 159,001 = 159,001 : x
  2. Step 2: Convert to fraction form
    111,538/159,001 = 159,001/x
  3. Step 3: Cross multiply
    111,538x = 159,001 × 159,001
  4. Step 4: Simplify right side
    111,538x = 25,281,318,001
  5. Step 5: Solve for x
    x = 25,281,318,001/111,538
  6. Step 6: Final answer
    x = 226,661.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.