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Finding the Third Proportional to 125,619 and 273,823

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Solution

The third proportional to 125,619 and 273,823 is: 596,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,619 : 273,823 = 273,823 : x
  2. Step 2: Convert to fraction form
    125,619/273,823 = 273,823/x
  3. Step 3: Cross multiply
    125,619x = 273,823 × 273,823
  4. Step 4: Simplify right side
    125,619x = 74,979,035,329
  5. Step 5: Solve for x
    x = 74,979,035,329/125,619
  6. Step 6: Final answer
    x = 596,876.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.