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Finding the Third Proportional to 74,136.38 and 154,416.75

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Solution

The third proportional to 74,136.38 and 154,416.75 is: 321,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136.38 : 154,416.75 = 154,416.75 : x
  2. Step 2: Convert to fraction form
    74,136.38/154,416.75 = 154,416.75/x
  3. Step 3: Cross multiply
    74,136.38x = 154,416.75 × 154,416.75
  4. Step 4: Simplify right side
    74,136.38x = 23,844,532,680.56
  5. Step 5: Solve for x
    x = 23,844,532,680.56/74,136.38
  6. Step 6: Final answer
    x = 321,630.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.