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Finding the Third Proportional to 123,022 and 183,890

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Solution

The third proportional to 123,022 and 183,890 is: 274,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,022 : 183,890 = 183,890 : x
  2. Step 2: Convert to fraction form
    123,022/183,890 = 183,890/x
  3. Step 3: Cross multiply
    123,022x = 183,890 × 183,890
  4. Step 4: Simplify right side
    123,022x = 33,815,532,100
  5. Step 5: Solve for x
    x = 33,815,532,100/123,022
  6. Step 6: Final answer
    x = 274,873.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.