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Finding the Third Proportional to 95,378 and 150,993

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Solution

The third proportional to 95,378 and 150,993 is: 239,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,378 : 150,993 = 150,993 : x
  2. Step 2: Convert to fraction form
    95,378/150,993 = 150,993/x
  3. Step 3: Cross multiply
    95,378x = 150,993 × 150,993
  4. Step 4: Simplify right side
    95,378x = 22,798,886,049
  5. Step 5: Solve for x
    x = 22,798,886,049/95,378
  6. Step 6: Final answer
    x = 239,037.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.