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Finding the Third Proportional to 95,021 and 148,283

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Solution

The third proportional to 95,021 and 148,283 is: 231,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,021 : 148,283 = 148,283 : x
  2. Step 2: Convert to fraction form
    95,021/148,283 = 148,283/x
  3. Step 3: Cross multiply
    95,021x = 148,283 × 148,283
  4. Step 4: Simplify right side
    95,021x = 21,987,848,089
  5. Step 5: Solve for x
    x = 21,987,848,089/95,021
  6. Step 6: Final answer
    x = 231,399.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.