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Finding the Third Proportional to 95,272 and 140,054

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Solution

The third proportional to 95,272 and 140,054 is: 205,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,272 : 140,054 = 140,054 : x
  2. Step 2: Convert to fraction form
    95,272/140,054 = 140,054/x
  3. Step 3: Cross multiply
    95,272x = 140,054 × 140,054
  4. Step 4: Simplify right side
    95,272x = 19,615,122,916
  5. Step 5: Solve for x
    x = 19,615,122,916/95,272
  6. Step 6: Final answer
    x = 205,885.50

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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.