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Finding the Third Proportional to 106,380 and 158,817

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Solution

The third proportional to 106,380 and 158,817 is: 237,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,380 : 158,817 = 158,817 : x
  2. Step 2: Convert to fraction form
    106,380/158,817 = 158,817/x
  3. Step 3: Cross multiply
    106,380x = 158,817 × 158,817
  4. Step 4: Simplify right side
    106,380x = 25,222,839,489
  5. Step 5: Solve for x
    x = 25,222,839,489/106,380
  6. Step 6: Final answer
    x = 237,101.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.