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Finding the Third Proportional to 92,242 and 139,211

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Solution

The third proportional to 92,242 and 139,211 is: 210,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242 : 139,211 = 139,211 : x
  2. Step 2: Convert to fraction form
    92,242/139,211 = 139,211/x
  3. Step 3: Cross multiply
    92,242x = 139,211 × 139,211
  4. Step 4: Simplify right side
    92,242x = 19,379,702,521
  5. Step 5: Solve for x
    x = 19,379,702,521/92,242
  6. Step 6: Final answer
    x = 210,096.30

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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.