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Finding the Third Proportional to 127,850.06 and 269,179.03

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Solution

The third proportional to 127,850.06 and 269,179.03 is: 566,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850.06 : 269,179.03 = 269,179.03 : x
  2. Step 2: Convert to fraction form
    127,850.06/269,179.03 = 269,179.03/x
  3. Step 3: Cross multiply
    127,850.06x = 269,179.03 × 269,179.03
  4. Step 4: Simplify right side
    127,850.06x = 72,457,350,864.69
  5. Step 5: Solve for x
    x = 72,457,350,864.69/127,850.06
  6. Step 6: Final answer
    x = 566,736.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.