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Finding the Third Proportional to 53,289.75 and 82,122

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Solution

The third proportional to 53,289.75 and 82,122 is: 126,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,289.75 : 82,122 = 82,122 : x
  2. Step 2: Convert to fraction form
    53,289.75/82,122 = 82,122/x
  3. Step 3: Cross multiply
    53,289.75x = 82,122 × 82,122
  4. Step 4: Simplify right side
    53,289.75x = 6,744,022,884
  5. Step 5: Solve for x
    x = 6,744,022,884/53,289.75
  6. Step 6: Final answer
    x = 126,553.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.