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Finding the Third Proportional to 127,092 and 273,861

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Solution

The third proportional to 127,092 and 273,861 is: 590,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,092 : 273,861 = 273,861 : x
  2. Step 2: Convert to fraction form
    127,092/273,861 = 273,861/x
  3. Step 3: Cross multiply
    127,092x = 273,861 × 273,861
  4. Step 4: Simplify right side
    127,092x = 74,999,847,321
  5. Step 5: Solve for x
    x = 74,999,847,321/127,092
  6. Step 6: Final answer
    x = 590,122.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.