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Finding the Third Proportional to 122,702 and 259,551

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Solution

The third proportional to 122,702 and 259,551 is: 549,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702 : 259,551 = 259,551 : x
  2. Step 2: Convert to fraction form
    122,702/259,551 = 259,551/x
  3. Step 3: Cross multiply
    122,702x = 259,551 × 259,551
  4. Step 4: Simplify right side
    122,702x = 67,366,721,601
  5. Step 5: Solve for x
    x = 67,366,721,601/122,702
  6. Step 6: Final answer
    x = 549,027.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.