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Finding the Third Proportional to 122,194 and 189,201

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Solution

The third proportional to 122,194 and 189,201 is: 292,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,194 : 189,201 = 189,201 : x
  2. Step 2: Convert to fraction form
    122,194/189,201 = 189,201/x
  3. Step 3: Cross multiply
    122,194x = 189,201 × 189,201
  4. Step 4: Simplify right side
    122,194x = 35,797,018,401
  5. Step 5: Solve for x
    x = 35,797,018,401/122,194
  6. Step 6: Final answer
    x = 292,952.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.