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Finding the Third Proportional to 112,022 and 177,467

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Solution

The third proportional to 112,022 and 177,467 is: 281,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,022 : 177,467 = 177,467 : x
  2. Step 2: Convert to fraction form
    112,022/177,467 = 177,467/x
  3. Step 3: Cross multiply
    112,022x = 177,467 × 177,467
  4. Step 4: Simplify right side
    112,022x = 31,494,536,089
  5. Step 5: Solve for x
    x = 31,494,536,089/112,022
  6. Step 6: Final answer
    x = 281,145.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.