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Finding the Third Proportional to 90,873 and 137,945

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Solution

The third proportional to 90,873 and 137,945 is: 209,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,873 : 137,945 = 137,945 : x
  2. Step 2: Convert to fraction form
    90,873/137,945 = 137,945/x
  3. Step 3: Cross multiply
    90,873x = 137,945 × 137,945
  4. Step 4: Simplify right side
    90,873x = 19,028,823,025
  5. Step 5: Solve for x
    x = 19,028,823,025/90,873
  6. Step 6: Final answer
    x = 209,400.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.