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Finding the Third Proportional to 125,809 and 274,946

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Solution

The third proportional to 125,809 and 274,946 is: 600,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,809 : 274,946 = 274,946 : x
  2. Step 2: Convert to fraction form
    125,809/274,946 = 274,946/x
  3. Step 3: Cross multiply
    125,809x = 274,946 × 274,946
  4. Step 4: Simplify right side
    125,809x = 75,595,302,916
  5. Step 5: Solve for x
    x = 75,595,302,916/125,809
  6. Step 6: Final answer
    x = 600,873.57

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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.