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Finding the Third Proportional to 122,236 and 252,086

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Solution

The third proportional to 122,236 and 252,086 is: 519,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,236 : 252,086 = 252,086 : x
  2. Step 2: Convert to fraction form
    122,236/252,086 = 252,086/x
  3. Step 3: Cross multiply
    122,236x = 252,086 × 252,086
  4. Step 4: Simplify right side
    122,236x = 63,547,351,396
  5. Step 5: Solve for x
    x = 63,547,351,396/122,236
  6. Step 6: Final answer
    x = 519,874.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.