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Finding the Third Proportional to 125,600 and 273,016

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Solution

The third proportional to 125,600 and 273,016 is: 593,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,600 : 273,016 = 273,016 : x
  2. Step 2: Convert to fraction form
    125,600/273,016 = 273,016/x
  3. Step 3: Cross multiply
    125,600x = 273,016 × 273,016
  4. Step 4: Simplify right side
    125,600x = 74,537,736,256
  5. Step 5: Solve for x
    x = 74,537,736,256/125,600
  6. Step 6: Final answer
    x = 593,453.31

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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.