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Finding the Third Proportional to 57,525.75 and 88,297.31

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Solution

The third proportional to 57,525.75 and 88,297.31 is: 135,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,525.75 : 88,297.31 = 88,297.31 : x
  2. Step 2: Convert to fraction form
    57,525.75/88,297.31 = 88,297.31/x
  3. Step 3: Cross multiply
    57,525.75x = 88,297.31 × 88,297.31
  4. Step 4: Simplify right side
    57,525.75x = 7,796,415,394.72
  5. Step 5: Solve for x
    x = 7,796,415,394.72/57,525.75
  6. Step 6: Final answer
    x = 135,529.14

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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.