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Finding the Third Proportional to 125,766.56 and 186,940.41

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Solution

The third proportional to 125,766.56 and 186,940.41 is: 277,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766.56 : 186,940.41 = 186,940.41 : x
  2. Step 2: Convert to fraction form
    125,766.56/186,940.41 = 186,940.41/x
  3. Step 3: Cross multiply
    125,766.56x = 186,940.41 × 186,940.41
  4. Step 4: Simplify right side
    125,766.56x = 34,946,715,488.92
  5. Step 5: Solve for x
    x = 34,946,715,488.92/125,766.56
  6. Step 6: Final answer
    x = 277,869.69

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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.