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Finding the Third Proportional to 115,224 and 172,836

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Solution

The third proportional to 115,224 and 172,836 is: 259,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 172,836 = 172,836 : x
  2. Step 2: Convert to fraction form
    115,224/172,836 = 172,836/x
  3. Step 3: Cross multiply
    115,224x = 172,836 × 172,836
  4. Step 4: Simplify right side
    115,224x = 29,872,282,896
  5. Step 5: Solve for x
    x = 29,872,282,896/115,224
  6. Step 6: Final answer
    x = 259,254

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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.