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Finding the Third Proportional to 57,419 and 84,427

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Solution

The third proportional to 57,419 and 84,427 is: 124,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,419 : 84,427 = 84,427 : x
  2. Step 2: Convert to fraction form
    57,419/84,427 = 84,427/x
  3. Step 3: Cross multiply
    57,419x = 84,427 × 84,427
  4. Step 4: Simplify right side
    57,419x = 7,127,918,329
  5. Step 5: Solve for x
    x = 7,127,918,329/57,419
  6. Step 6: Final answer
    x = 124,138.67

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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.