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Finding the Third Proportional to 121,894 and 185,193

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Solution

The third proportional to 121,894 and 185,193 is: 281,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,894 : 185,193 = 185,193 : x
  2. Step 2: Convert to fraction form
    121,894/185,193 = 185,193/x
  3. Step 3: Cross multiply
    121,894x = 185,193 × 185,193
  4. Step 4: Simplify right side
    121,894x = 34,296,447,249
  5. Step 5: Solve for x
    x = 34,296,447,249/121,894
  6. Step 6: Final answer
    x = 281,362.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.