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Finding the Third Proportional to 57,996 and 87,804

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Solution

The third proportional to 57,996 and 87,804 is: 132,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 87,804 = 87,804 : x
  2. Step 2: Convert to fraction form
    57,996/87,804 = 87,804/x
  3. Step 3: Cross multiply
    57,996x = 87,804 × 87,804
  4. Step 4: Simplify right side
    57,996x = 7,709,542,416
  5. Step 5: Solve for x
    x = 7,709,542,416/57,996
  6. Step 6: Final answer
    x = 132,932.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.