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Finding the Third Proportional to 116,276 and 175,266

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Solution

The third proportional to 116,276 and 175,266 is: 264,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,276 : 175,266 = 175,266 : x
  2. Step 2: Convert to fraction form
    116,276/175,266 = 175,266/x
  3. Step 3: Cross multiply
    116,276x = 175,266 × 175,266
  4. Step 4: Simplify right side
    116,276x = 30,718,170,756
  5. Step 5: Solve for x
    x = 30,718,170,756/116,276
  6. Step 6: Final answer
    x = 264,183.24

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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.