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Finding the Third Proportional to 82,848 and 130,176

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Solution

The third proportional to 82,848 and 130,176 is: 204,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,848 : 130,176 = 130,176 : x
  2. Step 2: Convert to fraction form
    82,848/130,176 = 130,176/x
  3. Step 3: Cross multiply
    82,848x = 130,176 × 130,176
  4. Step 4: Simplify right side
    82,848x = 16,945,790,976
  5. Step 5: Solve for x
    x = 16,945,790,976/82,848
  6. Step 6: Final answer
    x = 204,540.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.