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Finding the Third Proportional to 125,794 and 186,974

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Solution

The third proportional to 125,794 and 186,974 is: 277,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,794 : 186,974 = 186,974 : x
  2. Step 2: Convert to fraction form
    125,794/186,974 = 186,974/x
  3. Step 3: Cross multiply
    125,794x = 186,974 × 186,974
  4. Step 4: Simplify right side
    125,794x = 34,959,276,676
  5. Step 5: Solve for x
    x = 34,959,276,676/125,794
  6. Step 6: Final answer
    x = 277,908.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.