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Finding the Third Proportional to 92,242 and 139,210

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Solution

The third proportional to 92,242 and 139,210 is: 210,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,242 : 139,210 = 139,210 : x
  2. Step 2: Convert to fraction form
    92,242/139,210 = 139,210/x
  3. Step 3: Cross multiply
    92,242x = 139,210 × 139,210
  4. Step 4: Simplify right side
    92,242x = 19,379,424,100
  5. Step 5: Solve for x
    x = 19,379,424,100/92,242
  6. Step 6: Final answer
    x = 210,093.28

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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.