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Finding the Third Proportional to 53,852 and 114,182

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Solution

The third proportional to 53,852 and 114,182 is: 242,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852 : 114,182 = 114,182 : x
  2. Step 2: Convert to fraction form
    53,852/114,182 = 114,182/x
  3. Step 3: Cross multiply
    53,852x = 114,182 × 114,182
  4. Step 4: Simplify right side
    53,852x = 13,037,529,124
  5. Step 5: Solve for x
    x = 13,037,529,124/53,852
  6. Step 6: Final answer
    x = 242,099.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.