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Finding the Third Proportional to 125,064 and 273,846

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Solution

The third proportional to 125,064 and 273,846 is: 599,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064 : 273,846 = 273,846 : x
  2. Step 2: Convert to fraction form
    125,064/273,846 = 273,846/x
  3. Step 3: Cross multiply
    125,064x = 273,846 × 273,846
  4. Step 4: Simplify right side
    125,064x = 74,991,631,716
  5. Step 5: Solve for x
    x = 74,991,631,716/125,064
  6. Step 6: Final answer
    x = 599,626.05

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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.