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Finding the Third Proportional to 125,807 and 274,942

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Solution

The third proportional to 125,807 and 274,942 is: 600,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,807 : 274,942 = 274,942 : x
  2. Step 2: Convert to fraction form
    125,807/274,942 = 274,942/x
  3. Step 3: Cross multiply
    125,807x = 274,942 × 274,942
  4. Step 4: Simplify right side
    125,807x = 75,593,103,364
  5. Step 5: Solve for x
    x = 75,593,103,364/125,807
  6. Step 6: Final answer
    x = 600,865.64

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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.