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Finding the Third Proportional to 57,245 and 84,211

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Solution

The third proportional to 57,245 and 84,211 is: 123,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,245 : 84,211 = 84,211 : x
  2. Step 2: Convert to fraction form
    57,245/84,211 = 84,211/x
  3. Step 3: Cross multiply
    57,245x = 84,211 × 84,211
  4. Step 4: Simplify right side
    57,245x = 7,091,492,521
  5. Step 5: Solve for x
    x = 7,091,492,521/57,245
  6. Step 6: Final answer
    x = 123,879.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.