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Finding the Third Proportional to 122,102 and 253,558

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Solution

The third proportional to 122,102 and 253,558 is: 526,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,102 : 253,558 = 253,558 : x
  2. Step 2: Convert to fraction form
    122,102/253,558 = 253,558/x
  3. Step 3: Cross multiply
    122,102x = 253,558 × 253,558
  4. Step 4: Simplify right side
    122,102x = 64,291,659,364
  5. Step 5: Solve for x
    x = 64,291,659,364/122,102
  6. Step 6: Final answer
    x = 526,540.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.