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Finding the Third Proportional to 90,513 and 140,949

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Solution

The third proportional to 90,513 and 140,949 is: 219,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,513 : 140,949 = 140,949 : x
  2. Step 2: Convert to fraction form
    90,513/140,949 = 140,949/x
  3. Step 3: Cross multiply
    90,513x = 140,949 × 140,949
  4. Step 4: Simplify right side
    90,513x = 19,866,620,601
  5. Step 5: Solve for x
    x = 19,866,620,601/90,513
  6. Step 6: Final answer
    x = 219,489.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.