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Finding the Third Proportional to 100,447 and 151,966

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Solution

The third proportional to 100,447 and 151,966 is: 229,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,447 : 151,966 = 151,966 : x
  2. Step 2: Convert to fraction form
    100,447/151,966 = 151,966/x
  3. Step 3: Cross multiply
    100,447x = 151,966 × 151,966
  4. Step 4: Simplify right side
    100,447x = 23,093,665,156
  5. Step 5: Solve for x
    x = 23,093,665,156/100,447
  6. Step 6: Final answer
    x = 229,908.96

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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.