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Finding the Third Proportional to 126,009 and 194,964

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Solution

The third proportional to 126,009 and 194,964 is: 301,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,009 : 194,964 = 194,964 : x
  2. Step 2: Convert to fraction form
    126,009/194,964 = 194,964/x
  3. Step 3: Cross multiply
    126,009x = 194,964 × 194,964
  4. Step 4: Simplify right side
    126,009x = 38,010,961,296
  5. Step 5: Solve for x
    x = 38,010,961,296/126,009
  6. Step 6: Final answer
    x = 301,652.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.