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Finding the Third Proportional to 127,702 and 259,052

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Solution

The third proportional to 127,702 and 259,052 is: 525,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,702 : 259,052 = 259,052 : x
  2. Step 2: Convert to fraction form
    127,702/259,052 = 259,052/x
  3. Step 3: Cross multiply
    127,702x = 259,052 × 259,052
  4. Step 4: Simplify right side
    127,702x = 67,107,938,704
  5. Step 5: Solve for x
    x = 67,107,938,704/127,702
  6. Step 6: Final answer
    x = 525,504.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.