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Finding the Third Proportional to 95,919 and 142,018

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Solution

The third proportional to 95,919 and 142,018 is: 210,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,919 : 142,018 = 142,018 : x
  2. Step 2: Convert to fraction form
    95,919/142,018 = 142,018/x
  3. Step 3: Cross multiply
    95,919x = 142,018 × 142,018
  4. Step 4: Simplify right side
    95,919x = 20,169,112,324
  5. Step 5: Solve for x
    x = 20,169,112,324/95,919
  6. Step 6: Final answer
    x = 210,272.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.