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Finding the Third Proportional to 57,027 and 85,225.50

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Solution

The third proportional to 57,027 and 85,225.50 is: 127,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,027 : 85,225.50 = 85,225.50 : x
  2. Step 2: Convert to fraction form
    57,027/85,225.50 = 85,225.50/x
  3. Step 3: Cross multiply
    57,027x = 85,225.50 × 85,225.50
  4. Step 4: Simplify right side
    57,027x = 7,263,385,850.25
  5. Step 5: Solve for x
    x = 7,263,385,850.25/57,027
  6. Step 6: Final answer
    x = 127,367.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.