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Finding the Third Proportional to 53,284 and 116,936

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Solution

The third proportional to 53,284 and 116,936 is: 256,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,284 : 116,936 = 116,936 : x
  2. Step 2: Convert to fraction form
    53,284/116,936 = 116,936/x
  3. Step 3: Cross multiply
    53,284x = 116,936 × 116,936
  4. Step 4: Simplify right side
    53,284x = 13,674,028,096
  5. Step 5: Solve for x
    x = 13,674,028,096/53,284
  6. Step 6: Final answer
    x = 256,625.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.