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Finding the Third Proportional to 90,148.50 and 140,136.75

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Solution

The third proportional to 90,148.50 and 140,136.75 is: 217,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148.50 : 140,136.75 = 140,136.75 : x
  2. Step 2: Convert to fraction form
    90,148.50/140,136.75 = 140,136.75/x
  3. Step 3: Cross multiply
    90,148.50x = 140,136.75 × 140,136.75
  4. Step 4: Simplify right side
    90,148.50x = 19,638,308,700.56
  5. Step 5: Solve for x
    x = 19,638,308,700.56/90,148.50
  6. Step 6: Final answer
    x = 217,843.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.