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Finding the Third Proportional to 95,286 and 140,076

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Solution

The third proportional to 95,286 and 140,076 is: 205,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,286 : 140,076 = 140,076 : x
  2. Step 2: Convert to fraction form
    95,286/140,076 = 140,076/x
  3. Step 3: Cross multiply
    95,286x = 140,076 × 140,076
  4. Step 4: Simplify right side
    95,286x = 19,621,285,776
  5. Step 5: Solve for x
    x = 19,621,285,776/95,286
  6. Step 6: Final answer
    x = 205,919.92

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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.