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Finding the Third Proportional to 127,692 and 277,722

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Solution

The third proportional to 127,692 and 277,722 is: 604,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,692 : 277,722 = 277,722 : x
  2. Step 2: Convert to fraction form
    127,692/277,722 = 277,722/x
  3. Step 3: Cross multiply
    127,692x = 277,722 × 277,722
  4. Step 4: Simplify right side
    127,692x = 77,129,509,284
  5. Step 5: Solve for x
    x = 77,129,509,284/127,692
  6. Step 6: Final answer
    x = 604,027.73

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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.