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Finding the Third Proportional to 91,884.50 and 139,212

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Solution

The third proportional to 91,884.50 and 139,212 is: 210,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,884.50 : 139,212 = 139,212 : x
  2. Step 2: Convert to fraction form
    91,884.50/139,212 = 139,212/x
  3. Step 3: Cross multiply
    91,884.50x = 139,212 × 139,212
  4. Step 4: Simplify right side
    91,884.50x = 19,379,980,944
  5. Step 5: Solve for x
    x = 19,379,980,944/91,884.50
  6. Step 6: Final answer
    x = 210,916.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.