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Finding the Third Proportional to 56,689 and 123,739

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Solution

The third proportional to 56,689 and 123,739 is: 270,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,689 : 123,739 = 123,739 : x
  2. Step 2: Convert to fraction form
    56,689/123,739 = 123,739/x
  3. Step 3: Cross multiply
    56,689x = 123,739 × 123,739
  4. Step 4: Simplify right side
    56,689x = 15,311,340,121
  5. Step 5: Solve for x
    x = 15,311,340,121/56,689
  6. Step 6: Final answer
    x = 270,093.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.