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Finding the Third Proportional to 125,779 and 186,956

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Solution

The third proportional to 125,779 and 186,956 is: 277,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,779 : 186,956 = 186,956 : x
  2. Step 2: Convert to fraction form
    125,779/186,956 = 186,956/x
  3. Step 3: Cross multiply
    125,779x = 186,956 × 186,956
  4. Step 4: Simplify right side
    125,779x = 34,952,545,936
  5. Step 5: Solve for x
    x = 34,952,545,936/125,779
  6. Step 6: Final answer
    x = 277,888.57

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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.