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Finding the Third Proportional to 134,927 and 194,929

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Solution

The third proportional to 134,927 and 194,929 is: 281,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,927 : 194,929 = 194,929 : x
  2. Step 2: Convert to fraction form
    134,927/194,929 = 194,929/x
  3. Step 3: Cross multiply
    134,927x = 194,929 × 194,929
  4. Step 4: Simplify right side
    134,927x = 37,997,315,041
  5. Step 5: Solve for x
    x = 37,997,315,041/134,927
  6. Step 6: Final answer
    x = 281,613.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.