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Finding the Third Proportional to 95,274 and 140,057

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Solution

The third proportional to 95,274 and 140,057 is: 205,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,274 : 140,057 = 140,057 : x
  2. Step 2: Convert to fraction form
    95,274/140,057 = 140,057/x
  3. Step 3: Cross multiply
    95,274x = 140,057 × 140,057
  4. Step 4: Simplify right side
    95,274x = 19,615,963,249
  5. Step 5: Solve for x
    x = 19,615,963,249/95,274
  6. Step 6: Final answer
    x = 205,889.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.