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Finding the Third Proportional to 127,256.06 and 274,179.94

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Solution

The third proportional to 127,256.06 and 274,179.94 is: 590,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,256.06 : 274,179.94 = 274,179.94 : x
  2. Step 2: Convert to fraction form
    127,256.06/274,179.94 = 274,179.94/x
  3. Step 3: Cross multiply
    127,256.06x = 274,179.94 × 274,179.94
  4. Step 4: Simplify right side
    127,256.06x = 75,174,638,127.50
  5. Step 5: Solve for x
    x = 75,174,638,127.50/127,256.06
  6. Step 6: Final answer
    x = 590,735.22

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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.