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Finding the Third Proportional to 95,899 and 146,768

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Solution

The third proportional to 95,899 and 146,768 is: 224,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,899 : 146,768 = 146,768 : x
  2. Step 2: Convert to fraction form
    95,899/146,768 = 146,768/x
  3. Step 3: Cross multiply
    95,899x = 146,768 × 146,768
  4. Step 4: Simplify right side
    95,899x = 21,540,845,824
  5. Step 5: Solve for x
    x = 21,540,845,824/95,899
  6. Step 6: Final answer
    x = 224,620.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.