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Finding the Third Proportional to 98,073 and 207,734

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Solution

The third proportional to 98,073 and 207,734 is: 440,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073 : 207,734 = 207,734 : x
  2. Step 2: Convert to fraction form
    98,073/207,734 = 207,734/x
  3. Step 3: Cross multiply
    98,073x = 207,734 × 207,734
  4. Step 4: Simplify right side
    98,073x = 43,153,414,756
  5. Step 5: Solve for x
    x = 43,153,414,756/98,073
  6. Step 6: Final answer
    x = 440,013.20

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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.