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Finding the Third Proportional to 125,766 and 186,939

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Solution

The third proportional to 125,766 and 186,939 is: 277,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766 : 186,939 = 186,939 : x
  2. Step 2: Convert to fraction form
    125,766/186,939 = 186,939/x
  3. Step 3: Cross multiply
    125,766x = 186,939 × 186,939
  4. Step 4: Simplify right side
    125,766x = 34,946,189,721
  5. Step 5: Solve for x
    x = 34,946,189,721/125,766
  6. Step 6: Final answer
    x = 277,866.75

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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.