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Finding the Third Proportional to 57,814 and 124,914

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Solution

The third proportional to 57,814 and 124,914 is: 269,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,814 : 124,914 = 124,914 : x
  2. Step 2: Convert to fraction form
    57,814/124,914 = 124,914/x
  3. Step 3: Cross multiply
    57,814x = 124,914 × 124,914
  4. Step 4: Simplify right side
    57,814x = 15,603,507,396
  5. Step 5: Solve for x
    x = 15,603,507,396/57,814
  6. Step 6: Final answer
    x = 269,891.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.