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Finding the Third Proportional to 122,934 and 189,859.50

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Solution

The third proportional to 122,934 and 189,859.50 is: 293,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,934 : 189,859.50 = 189,859.50 : x
  2. Step 2: Convert to fraction form
    122,934/189,859.50 = 189,859.50/x
  3. Step 3: Cross multiply
    122,934x = 189,859.50 × 189,859.50
  4. Step 4: Simplify right side
    122,934x = 36,046,629,740.25
  5. Step 5: Solve for x
    x = 36,046,629,740.25/122,934
  6. Step 6: Final answer
    x = 293,219.37

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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.