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Finding the Third Proportional to 53,222 and 80,225

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Solution

The third proportional to 53,222 and 80,225 is: 120,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,222 : 80,225 = 80,225 : x
  2. Step 2: Convert to fraction form
    53,222/80,225 = 80,225/x
  3. Step 3: Cross multiply
    53,222x = 80,225 × 80,225
  4. Step 4: Simplify right side
    53,222x = 6,436,050,625
  5. Step 5: Solve for x
    x = 6,436,050,625/53,222
  6. Step 6: Final answer
    x = 120,928.39

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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.