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Finding the Third Proportional to 125,805 and 274,938

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Solution

The third proportional to 125,805 and 274,938 is: 600,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,805 : 274,938 = 274,938 : x
  2. Step 2: Convert to fraction form
    125,805/274,938 = 274,938/x
  3. Step 3: Cross multiply
    125,805x = 274,938 × 274,938
  4. Step 4: Simplify right side
    125,805x = 75,590,903,844
  5. Step 5: Solve for x
    x = 75,590,903,844/125,805
  6. Step 6: Final answer
    x = 600,857.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.