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Finding the Third Proportional to 53,057 and 82,815

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Solution

The third proportional to 53,057 and 82,815 is: 129,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 82,815 = 82,815 : x
  2. Step 2: Convert to fraction form
    53,057/82,815 = 82,815/x
  3. Step 3: Cross multiply
    53,057x = 82,815 × 82,815
  4. Step 4: Simplify right side
    53,057x = 6,858,324,225
  5. Step 5: Solve for x
    x = 6,858,324,225/53,057
  6. Step 6: Final answer
    x = 129,263.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.