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Finding the Third Proportional to 57,719 and 123,093

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Solution

The third proportional to 57,719 and 123,093 is: 262,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,719 : 123,093 = 123,093 : x
  2. Step 2: Convert to fraction form
    57,719/123,093 = 123,093/x
  3. Step 3: Cross multiply
    57,719x = 123,093 × 123,093
  4. Step 4: Simplify right side
    57,719x = 15,151,886,649
  5. Step 5: Solve for x
    x = 15,151,886,649/57,719
  6. Step 6: Final answer
    x = 262,511.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.