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Finding the Third Proportional to 122,022 and 184,536

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Solution

The third proportional to 122,022 and 184,536 is: 279,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,022 : 184,536 = 184,536 : x
  2. Step 2: Convert to fraction form
    122,022/184,536 = 184,536/x
  3. Step 3: Cross multiply
    122,022x = 184,536 × 184,536
  4. Step 4: Simplify right side
    122,022x = 34,053,535,296
  5. Step 5: Solve for x
    x = 34,053,535,296/122,022
  6. Step 6: Final answer
    x = 279,077.01

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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.