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Finding the Third Proportional to 50,019 and 70,347

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Solution

The third proportional to 50,019 and 70,347 is: 98,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,019 : 70,347 = 70,347 : x
  2. Step 2: Convert to fraction form
    50,019/70,347 = 70,347/x
  3. Step 3: Cross multiply
    50,019x = 70,347 × 70,347
  4. Step 4: Simplify right side
    50,019x = 4,948,700,409
  5. Step 5: Solve for x
    x = 4,948,700,409/50,019
  6. Step 6: Final answer
    x = 98,936.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.