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Finding the Third Proportional to 122,018 and 259,586

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Solution

The third proportional to 122,018 and 259,586 is: 552,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,018 : 259,586 = 259,586 : x
  2. Step 2: Convert to fraction form
    122,018/259,586 = 259,586/x
  3. Step 3: Cross multiply
    122,018x = 259,586 × 259,586
  4. Step 4: Simplify right side
    122,018x = 67,384,891,396
  5. Step 5: Solve for x
    x = 67,384,891,396/122,018
  6. Step 6: Final answer
    x = 552,253.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.