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Finding the Third Proportional to 89,222 and 131,367

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Solution

The third proportional to 89,222 and 131,367 is: 193,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,222 : 131,367 = 131,367 : x
  2. Step 2: Convert to fraction form
    89,222/131,367 = 131,367/x
  3. Step 3: Cross multiply
    89,222x = 131,367 × 131,367
  4. Step 4: Simplify right side
    89,222x = 17,257,288,689
  5. Step 5: Solve for x
    x = 17,257,288,689/89,222
  6. Step 6: Final answer
    x = 193,419.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.