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Finding the Third Proportional to 55,852 and 121,533

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Solution

The third proportional to 55,852 and 121,533 is: 264,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852 : 121,533 = 121,533 : x
  2. Step 2: Convert to fraction form
    55,852/121,533 = 121,533/x
  3. Step 3: Cross multiply
    55,852x = 121,533 × 121,533
  4. Step 4: Simplify right side
    55,852x = 14,770,270,089
  5. Step 5: Solve for x
    x = 14,770,270,089/55,852
  6. Step 6: Final answer
    x = 264,453.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.