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Finding the Third Proportional to 95,129.44 and 146,270.81

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Solution

The third proportional to 95,129.44 and 146,270.81 is: 224,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,129.44 : 146,270.81 = 146,270.81 : x
  2. Step 2: Convert to fraction form
    95,129.44/146,270.81 = 146,270.81/x
  3. Step 3: Cross multiply
    95,129.44x = 146,270.81 × 146,270.81
  4. Step 4: Simplify right side
    95,129.44x = 21,395,150,589.41
  5. Step 5: Solve for x
    x = 21,395,150,589.41/95,129.44
  6. Step 6: Final answer
    x = 224,905.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.