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Finding the Third Proportional to 95,388 and 140,156

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Solution

The third proportional to 95,388 and 140,156 is: 205,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,388 : 140,156 = 140,156 : x
  2. Step 2: Convert to fraction form
    95,388/140,156 = 140,156/x
  3. Step 3: Cross multiply
    95,388x = 140,156 × 140,156
  4. Step 4: Simplify right side
    95,388x = 19,643,704,336
  5. Step 5: Solve for x
    x = 19,643,704,336/95,388
  6. Step 6: Final answer
    x = 205,934.75

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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.