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Finding the Third Proportional to 53,213 and 80,211

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Solution

The third proportional to 53,213 and 80,211 is: 120,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213 : 80,211 = 80,211 : x
  2. Step 2: Convert to fraction form
    53,213/80,211 = 80,211/x
  3. Step 3: Cross multiply
    53,213x = 80,211 × 80,211
  4. Step 4: Simplify right side
    53,213x = 6,433,804,521
  5. Step 5: Solve for x
    x = 6,433,804,521/53,213
  6. Step 6: Final answer
    x = 120,906.63

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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.