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Finding the Third Proportional to 127,091 and 275,104

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Solution

The third proportional to 127,091 and 275,104 is: 595,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,091 : 275,104 = 275,104 : x
  2. Step 2: Convert to fraction form
    127,091/275,104 = 275,104/x
  3. Step 3: Cross multiply
    127,091x = 275,104 × 275,104
  4. Step 4: Simplify right side
    127,091x = 75,682,210,816
  5. Step 5: Solve for x
    x = 75,682,210,816/127,091
  6. Step 6: Final answer
    x = 595,496.23

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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.