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Finding the Third Proportional to 129,896 and 194,844

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Solution

The third proportional to 129,896 and 194,844 is: 292,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896 : 194,844 = 194,844 : x
  2. Step 2: Convert to fraction form
    129,896/194,844 = 194,844/x
  3. Step 3: Cross multiply
    129,896x = 194,844 × 194,844
  4. Step 4: Simplify right side
    129,896x = 37,964,184,336
  5. Step 5: Solve for x
    x = 37,964,184,336/129,896
  6. Step 6: Final answer
    x = 292,266

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.