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Finding the Third Proportional to 92,252 and 139,212

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Solution

The third proportional to 92,252 and 139,212 is: 210,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,252 : 139,212 = 139,212 : x
  2. Step 2: Convert to fraction form
    92,252/139,212 = 139,212/x
  3. Step 3: Cross multiply
    92,252x = 139,212 × 139,212
  4. Step 4: Simplify right side
    92,252x = 19,379,980,944
  5. Step 5: Solve for x
    x = 19,379,980,944/92,252
  6. Step 6: Final answer
    x = 210,076.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.