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Finding the Third Proportional to 125,678 and 273,172

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Solution

The third proportional to 125,678 and 273,172 is: 593,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678 : 273,172 = 273,172 : x
  2. Step 2: Convert to fraction form
    125,678/273,172 = 273,172/x
  3. Step 3: Cross multiply
    125,678x = 273,172 × 273,172
  4. Step 4: Simplify right side
    125,678x = 74,622,941,584
  5. Step 5: Solve for x
    x = 74,622,941,584/125,678
  6. Step 6: Final answer
    x = 593,762.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.