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Finding the Third Proportional to 53,916 and 116,995

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Solution

The third proportional to 53,916 and 116,995 is: 253,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,916 : 116,995 = 116,995 : x
  2. Step 2: Convert to fraction form
    53,916/116,995 = 116,995/x
  3. Step 3: Cross multiply
    53,916x = 116,995 × 116,995
  4. Step 4: Simplify right side
    53,916x = 13,687,830,025
  5. Step 5: Solve for x
    x = 13,687,830,025/53,916
  6. Step 6: Final answer
    x = 253,873.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.