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Finding the Third Proportional to 98,077 and 207,742

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Solution

The third proportional to 98,077 and 207,742 is: 440,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077 : 207,742 = 207,742 : x
  2. Step 2: Convert to fraction form
    98,077/207,742 = 207,742/x
  3. Step 3: Cross multiply
    98,077x = 207,742 × 207,742
  4. Step 4: Simplify right side
    98,077x = 43,156,738,564
  5. Step 5: Solve for x
    x = 43,156,738,564/98,077
  6. Step 6: Final answer
    x = 440,029.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.