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Finding the Third Proportional to 127,810 and 274,052

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Solution

The third proportional to 127,810 and 274,052 is: 587,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,810 : 274,052 = 274,052 : x
  2. Step 2: Convert to fraction form
    127,810/274,052 = 274,052/x
  3. Step 3: Cross multiply
    127,810x = 274,052 × 274,052
  4. Step 4: Simplify right side
    127,810x = 75,104,498,704
  5. Step 5: Solve for x
    x = 75,104,498,704/127,810
  6. Step 6: Final answer
    x = 587,626.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.