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Finding the Third Proportional to 125,764 and 186,936

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Solution

The third proportional to 125,764 and 186,936 is: 277,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,764 : 186,936 = 186,936 : x
  2. Step 2: Convert to fraction form
    125,764/186,936 = 186,936/x
  3. Step 3: Cross multiply
    125,764x = 186,936 × 186,936
  4. Step 4: Simplify right side
    125,764x = 34,945,068,096
  5. Step 5: Solve for x
    x = 34,945,068,096/125,764
  6. Step 6: Final answer
    x = 277,862.25

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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.