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Finding the Third Proportional to 115,096 and 246,181

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Solution

The third proportional to 115,096 and 246,181 is: 526,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,096 : 246,181 = 246,181 : x
  2. Step 2: Convert to fraction form
    115,096/246,181 = 246,181/x
  3. Step 3: Cross multiply
    115,096x = 246,181 × 246,181
  4. Step 4: Simplify right side
    115,096x = 60,605,084,761
  5. Step 5: Solve for x
    x = 60,605,084,761/115,096
  6. Step 6: Final answer
    x = 526,561.17

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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.