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Finding the Third Proportional to 53,848 and 82,652

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Solution

The third proportional to 53,848 and 82,652 is: 126,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,848 : 82,652 = 82,652 : x
  2. Step 2: Convert to fraction form
    53,848/82,652 = 82,652/x
  3. Step 3: Cross multiply
    53,848x = 82,652 × 82,652
  4. Step 4: Simplify right side
    53,848x = 6,831,353,104
  5. Step 5: Solve for x
    x = 6,831,353,104/53,848
  6. Step 6: Final answer
    x = 126,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.