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Finding the Third Proportional to 127,121 and 273,946

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Solution

The third proportional to 127,121 and 273,946 is: 590,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,121 : 273,946 = 273,946 : x
  2. Step 2: Convert to fraction form
    127,121/273,946 = 273,946/x
  3. Step 3: Cross multiply
    127,121x = 273,946 × 273,946
  4. Step 4: Simplify right side
    127,121x = 75,046,410,916
  5. Step 5: Solve for x
    x = 75,046,410,916/127,121
  6. Step 6: Final answer
    x = 590,354.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.