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Finding the Third Proportional to 121,892 and 185,192

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Solution

The third proportional to 121,892 and 185,192 is: 281,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,892 : 185,192 = 185,192 : x
  2. Step 2: Convert to fraction form
    121,892/185,192 = 185,192/x
  3. Step 3: Cross multiply
    121,892x = 185,192 × 185,192
  4. Step 4: Simplify right side
    121,892x = 34,296,076,864
  5. Step 5: Solve for x
    x = 34,296,076,864/121,892
  6. Step 6: Final answer
    x = 281,364.46

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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.