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Finding the Third Proportional to 90,474 and 137,583

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Solution

The third proportional to 90,474 and 137,583 is: 209,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,474 : 137,583 = 137,583 : x
  2. Step 2: Convert to fraction form
    90,474/137,583 = 137,583/x
  3. Step 3: Cross multiply
    90,474x = 137,583 × 137,583
  4. Step 4: Simplify right side
    90,474x = 18,929,081,889
  5. Step 5: Solve for x
    x = 18,929,081,889/90,474
  6. Step 6: Final answer
    x = 209,221.23

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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.