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Finding the Third Proportional to 127,123 and 273,704

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Solution

The third proportional to 127,123 and 273,704 is: 589,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,123 : 273,704 = 273,704 : x
  2. Step 2: Convert to fraction form
    127,123/273,704 = 273,704/x
  3. Step 3: Cross multiply
    127,123x = 273,704 × 273,704
  4. Step 4: Simplify right side
    127,123x = 74,913,879,616
  5. Step 5: Solve for x
    x = 74,913,879,616/127,123
  6. Step 6: Final answer
    x = 589,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.