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Finding the Third Proportional to 62,021 and 83,419

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Solution

The third proportional to 62,021 and 83,419 is: 112,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,021 : 83,419 = 83,419 : x
  2. Step 2: Convert to fraction form
    62,021/83,419 = 83,419/x
  3. Step 3: Cross multiply
    62,021x = 83,419 × 83,419
  4. Step 4: Simplify right side
    62,021x = 6,958,729,561
  5. Step 5: Solve for x
    x = 6,958,729,561/62,021
  6. Step 6: Final answer
    x = 112,199.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.