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Finding the Third Proportional to 122,436 and 179,462.25

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Solution

The third proportional to 122,436 and 179,462.25 is: 263,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,436 : 179,462.25 = 179,462.25 : x
  2. Step 2: Convert to fraction form
    122,436/179,462.25 = 179,462.25/x
  3. Step 3: Cross multiply
    122,436x = 179,462.25 × 179,462.25
  4. Step 4: Simplify right side
    122,436x = 32,206,699,175.06
  5. Step 5: Solve for x
    x = 32,206,699,175.06/122,436
  6. Step 6: Final answer
    x = 263,049.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.