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Finding the Third Proportional to 122,930.25 and 189,853.50

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Solution

The third proportional to 122,930.25 and 189,853.50 is: 293,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,930.25 : 189,853.50 = 189,853.50 : x
  2. Step 2: Convert to fraction form
    122,930.25/189,853.50 = 189,853.50/x
  3. Step 3: Cross multiply
    122,930.25x = 189,853.50 × 189,853.50
  4. Step 4: Simplify right side
    122,930.25x = 36,044,351,462.25
  5. Step 5: Solve for x
    x = 36,044,351,462.25/122,930.25
  6. Step 6: Final answer
    x = 293,209.78

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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.