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Finding the Third Proportional to 103,225.75 and 150,855.25

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Solution

The third proportional to 103,225.75 and 150,855.25 is: 220,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,225.75 : 150,855.25 = 150,855.25 : x
  2. Step 2: Convert to fraction form
    103,225.75/150,855.25 = 150,855.25/x
  3. Step 3: Cross multiply
    103,225.75x = 150,855.25 × 150,855.25
  4. Step 4: Simplify right side
    103,225.75x = 22,757,306,452.56
  5. Step 5: Solve for x
    x = 22,757,306,452.56/103,225.75
  6. Step 6: Final answer
    x = 220,461.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.