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Finding the Third Proportional to 36,224 and 75,220

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Solution

The third proportional to 36,224 and 75,220 is: 156,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224 : 75,220 = 75,220 : x
  2. Step 2: Convert to fraction form
    36,224/75,220 = 75,220/x
  3. Step 3: Cross multiply
    36,224x = 75,220 × 75,220
  4. Step 4: Simplify right side
    36,224x = 5,658,048,400
  5. Step 5: Solve for x
    x = 5,658,048,400/36,224
  6. Step 6: Final answer
    x = 156,196.12

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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.