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Finding the Third Proportional to 95,221 and 139,884

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Solution

The third proportional to 95,221 and 139,884 is: 205,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,221 : 139,884 = 139,884 : x
  2. Step 2: Convert to fraction form
    95,221/139,884 = 139,884/x
  3. Step 3: Cross multiply
    95,221x = 139,884 × 139,884
  4. Step 4: Simplify right side
    95,221x = 19,567,533,456
  5. Step 5: Solve for x
    x = 19,567,533,456/95,221
  6. Step 6: Final answer
    x = 205,495.99

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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.