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Finding the Third Proportional to 122,318 and 172,250

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Solution

The third proportional to 122,318 and 172,250 is: 242,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,318 : 172,250 = 172,250 : x
  2. Step 2: Convert to fraction form
    122,318/172,250 = 172,250/x
  3. Step 3: Cross multiply
    122,318x = 172,250 × 172,250
  4. Step 4: Simplify right side
    122,318x = 29,670,062,500
  5. Step 5: Solve for x
    x = 29,670,062,500/122,318
  6. Step 6: Final answer
    x = 242,564.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.