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Finding the Third Proportional to 124,660 and 196,062

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Solution

The third proportional to 124,660 and 196,062 is: 308,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,660 : 196,062 = 196,062 : x
  2. Step 2: Convert to fraction form
    124,660/196,062 = 196,062/x
  3. Step 3: Cross multiply
    124,660x = 196,062 × 196,062
  4. Step 4: Simplify right side
    124,660x = 38,440,307,844
  5. Step 5: Solve for x
    x = 38,440,307,844/124,660
  6. Step 6: Final answer
    x = 308,361.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.