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Finding the Third Proportional to 127,660 and 194,946

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Solution

The third proportional to 127,660 and 194,946 is: 297,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,660 : 194,946 = 194,946 : x
  2. Step 2: Convert to fraction form
    127,660/194,946 = 194,946/x
  3. Step 3: Cross multiply
    127,660x = 194,946 × 194,946
  4. Step 4: Simplify right side
    127,660x = 38,003,942,916
  5. Step 5: Solve for x
    x = 38,003,942,916/127,660
  6. Step 6: Final answer
    x = 297,696.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.