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Finding the Third Proportional to 127,109 and 275,134

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Solution

The third proportional to 127,109 and 275,134 is: 595,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,109 : 275,134 = 275,134 : x
  2. Step 2: Convert to fraction form
    127,109/275,134 = 275,134/x
  3. Step 3: Cross multiply
    127,109x = 275,134 × 275,134
  4. Step 4: Simplify right side
    127,109x = 75,698,717,956
  5. Step 5: Solve for x
    x = 75,698,717,956/127,109
  6. Step 6: Final answer
    x = 595,541.76

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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.