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Finding the Third Proportional to 149,122.50 and 225,855.66

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Solution

The third proportional to 149,122.50 and 225,855.66 is: 342,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,122.50 : 225,855.66 = 225,855.66 : x
  2. Step 2: Convert to fraction form
    149,122.50/225,855.66 = 225,855.66/x
  3. Step 3: Cross multiply
    149,122.50x = 225,855.66 × 225,855.66
  4. Step 4: Simplify right side
    149,122.50x = 51,010,777,460.12
  5. Step 5: Solve for x
    x = 51,010,777,460.12/149,122.50
  6. Step 6: Final answer
    x = 342,072.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.