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Finding the Third Proportional to 122,634 and 173,538

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Solution

The third proportional to 122,634 and 173,538 is: 245,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,634 : 173,538 = 173,538 : x
  2. Step 2: Convert to fraction form
    122,634/173,538 = 173,538/x
  3. Step 3: Cross multiply
    122,634x = 173,538 × 173,538
  4. Step 4: Simplify right side
    122,634x = 30,115,437,444
  5. Step 5: Solve for x
    x = 30,115,437,444/122,634
  6. Step 6: Final answer
    x = 245,571.68

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Why These Related Problems?

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