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Finding the Third Proportional to 125,648 and 273,112

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Solution

The third proportional to 125,648 and 273,112 is: 593,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,648 : 273,112 = 273,112 : x
  2. Step 2: Convert to fraction form
    125,648/273,112 = 273,112/x
  3. Step 3: Cross multiply
    125,648x = 273,112 × 273,112
  4. Step 4: Simplify right side
    125,648x = 74,590,164,544
  5. Step 5: Solve for x
    x = 74,590,164,544/125,648
  6. Step 6: Final answer
    x = 593,643.87

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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.