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Finding the Third Proportional to 53,201 and 113,512

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Solution

The third proportional to 53,201 and 113,512 is: 242,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201 : 113,512 = 113,512 : x
  2. Step 2: Convert to fraction form
    53,201/113,512 = 113,512/x
  3. Step 3: Cross multiply
    53,201x = 113,512 × 113,512
  4. Step 4: Simplify right side
    53,201x = 12,884,974,144
  5. Step 5: Solve for x
    x = 12,884,974,144/53,201
  6. Step 6: Final answer
    x = 242,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.