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Finding the Third Proportional to 115,788 and 173,195

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Solution

The third proportional to 115,788 and 173,195 is: 259,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,788 : 173,195 = 173,195 : x
  2. Step 2: Convert to fraction form
    115,788/173,195 = 173,195/x
  3. Step 3: Cross multiply
    115,788x = 173,195 × 173,195
  4. Step 4: Simplify right side
    115,788x = 29,996,508,025
  5. Step 5: Solve for x
    x = 29,996,508,025/115,788
  6. Step 6: Final answer
    x = 259,064.05

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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.