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Finding the Third Proportional to 122,932 and 189,860

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Solution

The third proportional to 122,932 and 189,860 is: 293,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,932 : 189,860 = 189,860 : x
  2. Step 2: Convert to fraction form
    122,932/189,860 = 189,860/x
  3. Step 3: Cross multiply
    122,932x = 189,860 × 189,860
  4. Step 4: Simplify right side
    122,932x = 36,046,819,600
  5. Step 5: Solve for x
    x = 36,046,819,600/122,932
  6. Step 6: Final answer
    x = 293,225.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.