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Finding the Third Proportional to 113,813 and 172,285

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Solution

The third proportional to 113,813 and 172,285 is: 260,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,813 : 172,285 = 172,285 : x
  2. Step 2: Convert to fraction form
    113,813/172,285 = 172,285/x
  3. Step 3: Cross multiply
    113,813x = 172,285 × 172,285
  4. Step 4: Simplify right side
    113,813x = 29,682,121,225
  5. Step 5: Solve for x
    x = 29,682,121,225/113,813
  6. Step 6: Final answer
    x = 260,797.28

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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.