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Finding the Third Proportional to 95,128 and 146,272

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Solution

The third proportional to 95,128 and 146,272 is: 224,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,128 : 146,272 = 146,272 : x
  2. Step 2: Convert to fraction form
    95,128/146,272 = 146,272/x
  3. Step 3: Cross multiply
    95,128x = 146,272 × 146,272
  4. Step 4: Simplify right side
    95,128x = 21,395,497,984
  5. Step 5: Solve for x
    x = 21,395,497,984/95,128
  6. Step 6: Final answer
    x = 224,912.73

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