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Finding the Third Proportional to 57,852 and 125,136

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Solution

The third proportional to 57,852 and 125,136 is: 270,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 125,136 = 125,136 : x
  2. Step 2: Convert to fraction form
    57,852/125,136 = 125,136/x
  3. Step 3: Cross multiply
    57,852x = 125,136 × 125,136
  4. Step 4: Simplify right side
    57,852x = 15,659,018,496
  5. Step 5: Solve for x
    x = 15,659,018,496/57,852
  6. Step 6: Final answer
    x = 270,673.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.