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Finding the Third Proportional to 110,077 and 235,705

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Solution

The third proportional to 110,077 and 235,705 is: 504,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,077 : 235,705 = 235,705 : x
  2. Step 2: Convert to fraction form
    110,077/235,705 = 235,705/x
  3. Step 3: Cross multiply
    110,077x = 235,705 × 235,705
  4. Step 4: Simplify right side
    110,077x = 55,556,847,025
  5. Step 5: Solve for x
    x = 55,556,847,025/110,077
  6. Step 6: Final answer
    x = 504,708.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.