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Finding the Third Proportional to 103,966 and 158,138

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Solution

The third proportional to 103,966 and 158,138 is: 240,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,966 : 158,138 = 158,138 : x
  2. Step 2: Convert to fraction form
    103,966/158,138 = 158,138/x
  3. Step 3: Cross multiply
    103,966x = 158,138 × 158,138
  4. Step 4: Simplify right side
    103,966x = 25,007,627,044
  5. Step 5: Solve for x
    x = 25,007,627,044/103,966
  6. Step 6: Final answer
    x = 240,536.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.