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Finding the Third Proportional to 90,612 and 184,225.50

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Solution

The third proportional to 90,612 and 184,225.50 is: 374,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,612 : 184,225.50 = 184,225.50 : x
  2. Step 2: Convert to fraction form
    90,612/184,225.50 = 184,225.50/x
  3. Step 3: Cross multiply
    90,612x = 184,225.50 × 184,225.50
  4. Step 4: Simplify right side
    90,612x = 33,939,034,850.25
  5. Step 5: Solve for x
    x = 33,939,034,850.25/90,612
  6. Step 6: Final answer
    x = 374,553.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.