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Finding the Third Proportional to 124,934 and 273,170

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Solution

The third proportional to 124,934 and 273,170 is: 597,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,934 : 273,170 = 273,170 : x
  2. Step 2: Convert to fraction form
    124,934/273,170 = 273,170/x
  3. Step 3: Cross multiply
    124,934x = 273,170 × 273,170
  4. Step 4: Simplify right side
    124,934x = 74,621,848,900
  5. Step 5: Solve for x
    x = 74,621,848,900/124,934
  6. Step 6: Final answer
    x = 597,290.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.