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Finding the Third Proportional to 95,240 and 139,906

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Solution

The third proportional to 95,240 and 139,906 is: 205,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,240 : 139,906 = 139,906 : x
  2. Step 2: Convert to fraction form
    95,240/139,906 = 139,906/x
  3. Step 3: Cross multiply
    95,240x = 139,906 × 139,906
  4. Step 4: Simplify right side
    95,240x = 19,573,688,836
  5. Step 5: Solve for x
    x = 19,573,688,836/95,240
  6. Step 6: Final answer
    x = 205,519.62

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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.