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Finding the Third Proportional to 111,077 and 241,870

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Solution

The third proportional to 111,077 and 241,870 is: 526,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,077 : 241,870 = 241,870 : x
  2. Step 2: Convert to fraction form
    111,077/241,870 = 241,870/x
  3. Step 3: Cross multiply
    111,077x = 241,870 × 241,870
  4. Step 4: Simplify right side
    111,077x = 58,501,096,900
  5. Step 5: Solve for x
    x = 58,501,096,900/111,077
  6. Step 6: Final answer
    x = 526,671.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.