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Finding the Third Proportional to 57,078 and 87,777

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Solution

The third proportional to 57,078 and 87,777 is: 134,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078 : 87,777 = 87,777 : x
  2. Step 2: Convert to fraction form
    57,078/87,777 = 87,777/x
  3. Step 3: Cross multiply
    57,078x = 87,777 × 87,777
  4. Step 4: Simplify right side
    57,078x = 7,704,801,729
  5. Step 5: Solve for x
    x = 7,704,801,729/57,078
  6. Step 6: Final answer
    x = 134,987.24

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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.