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Finding the Third Proportional to 123,042 and 175,949

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Solution

The third proportional to 123,042 and 175,949 is: 251,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,042 : 175,949 = 175,949 : x
  2. Step 2: Convert to fraction form
    123,042/175,949 = 175,949/x
  3. Step 3: Cross multiply
    123,042x = 175,949 × 175,949
  4. Step 4: Simplify right side
    123,042x = 30,958,050,601
  5. Step 5: Solve for x
    x = 30,958,050,601/123,042
  6. Step 6: Final answer
    x = 251,605.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.