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Finding the Third Proportional to 122,203 and 184,534

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Solution

The third proportional to 122,203 and 184,534 is: 278,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,203 : 184,534 = 184,534 : x
  2. Step 2: Convert to fraction form
    122,203/184,534 = 184,534/x
  3. Step 3: Cross multiply
    122,203x = 184,534 × 184,534
  4. Step 4: Simplify right side
    122,203x = 34,052,797,156
  5. Step 5: Solve for x
    x = 34,052,797,156/122,203
  6. Step 6: Final answer
    x = 278,657.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.