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Finding the Third Proportional to 125,793 and 274,914

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Solution

The third proportional to 125,793 and 274,914 is: 600,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,793 : 274,914 = 274,914 : x
  2. Step 2: Convert to fraction form
    125,793/274,914 = 274,914/x
  3. Step 3: Cross multiply
    125,793x = 274,914 × 274,914
  4. Step 4: Simplify right side
    125,793x = 75,577,707,396
  5. Step 5: Solve for x
    x = 75,577,707,396/125,793
  6. Step 6: Final answer
    x = 600,810.12

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