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Finding the Third Proportional to 134,906 and 194,900

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Solution

The third proportional to 134,906 and 194,900 is: 281,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,906 : 194,900 = 194,900 : x
  2. Step 2: Convert to fraction form
    134,906/194,900 = 194,900/x
  3. Step 3: Cross multiply
    134,906x = 194,900 × 194,900
  4. Step 4: Simplify right side
    134,906x = 37,986,010,000
  5. Step 5: Solve for x
    x = 37,986,010,000/134,906
  6. Step 6: Final answer
    x = 281,573.91

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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.