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Finding the Third Proportional to 122,634 and 173,907

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Solution

The third proportional to 122,634 and 173,907 is: 246,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,634 : 173,907 = 173,907 : x
  2. Step 2: Convert to fraction form
    122,634/173,907 = 173,907/x
  3. Step 3: Cross multiply
    122,634x = 173,907 × 173,907
  4. Step 4: Simplify right side
    122,634x = 30,243,644,649
  5. Step 5: Solve for x
    x = 30,243,644,649/122,634
  6. Step 6: Final answer
    x = 246,617.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.