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Finding the Third Proportional to 115,796 and 173,206

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Solution

The third proportional to 115,796 and 173,206 is: 259,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,796 : 173,206 = 173,206 : x
  2. Step 2: Convert to fraction form
    115,796/173,206 = 173,206/x
  3. Step 3: Cross multiply
    115,796x = 173,206 × 173,206
  4. Step 4: Simplify right side
    115,796x = 30,000,318,436
  5. Step 5: Solve for x
    x = 30,000,318,436/115,796
  6. Step 6: Final answer
    x = 259,079.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.