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Finding the Third Proportional to 122,633 and 189,962

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Solution

The third proportional to 122,633 and 189,962 is: 294,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,633 : 189,962 = 189,962 : x
  2. Step 2: Convert to fraction form
    122,633/189,962 = 189,962/x
  3. Step 3: Cross multiply
    122,633x = 189,962 × 189,962
  4. Step 4: Simplify right side
    122,633x = 36,085,561,444
  5. Step 5: Solve for x
    x = 36,085,561,444/122,633
  6. Step 6: Final answer
    x = 294,256.53

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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.