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Finding the Third Proportional to 53,078 and 111,916

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Solution

The third proportional to 53,078 and 111,916 is: 235,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,078 : 111,916 = 111,916 : x
  2. Step 2: Convert to fraction form
    53,078/111,916 = 111,916/x
  3. Step 3: Cross multiply
    53,078x = 111,916 × 111,916
  4. Step 4: Simplify right side
    53,078x = 12,525,191,056
  5. Step 5: Solve for x
    x = 12,525,191,056/53,078
  6. Step 6: Final answer
    x = 235,977.07

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.