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Finding the Third Proportional to 113,796 and 172,266

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Solution

The third proportional to 113,796 and 172,266 is: 260,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,796 : 172,266 = 172,266 : x
  2. Step 2: Convert to fraction form
    113,796/172,266 = 172,266/x
  3. Step 3: Cross multiply
    113,796x = 172,266 × 172,266
  4. Step 4: Simplify right side
    113,796x = 29,675,574,756
  5. Step 5: Solve for x
    x = 29,675,574,756/113,796
  6. Step 6: Final answer
    x = 260,778.72

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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.