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Finding the Third Proportional to 125,674 and 273,164

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Solution

The third proportional to 125,674 and 273,164 is: 593,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,674 : 273,164 = 273,164 : x
  2. Step 2: Convert to fraction form
    125,674/273,164 = 273,164/x
  3. Step 3: Cross multiply
    125,674x = 273,164 × 273,164
  4. Step 4: Simplify right side
    125,674x = 74,618,570,896
  5. Step 5: Solve for x
    x = 74,618,570,896/125,674
  6. Step 6: Final answer
    x = 593,747.08

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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.