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Finding the Third Proportional to 71,538 and 154,252

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Solution

The third proportional to 71,538 and 154,252 is: 332,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538 : 154,252 = 154,252 : x
  2. Step 2: Convert to fraction form
    71,538/154,252 = 154,252/x
  3. Step 3: Cross multiply
    71,538x = 154,252 × 154,252
  4. Step 4: Simplify right side
    71,538x = 23,793,679,504
  5. Step 5: Solve for x
    x = 23,793,679,504/71,538
  6. Step 6: Final answer
    x = 332,601.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.