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Finding the Third Proportional to 90,616 and 137,922

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Solution

The third proportional to 90,616 and 137,922 is: 209,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,616 : 137,922 = 137,922 : x
  2. Step 2: Convert to fraction form
    90,616/137,922 = 137,922/x
  3. Step 3: Cross multiply
    90,616x = 137,922 × 137,922
  4. Step 4: Simplify right side
    90,616x = 19,022,478,084
  5. Step 5: Solve for x
    x = 19,022,478,084/90,616
  6. Step 6: Final answer
    x = 209,924.05

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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.