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Finding the Third Proportional to 50,084 and 70,020

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Solution

The third proportional to 50,084 and 70,020 is: 97,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,084 : 70,020 = 70,020 : x
  2. Step 2: Convert to fraction form
    50,084/70,020 = 70,020/x
  3. Step 3: Cross multiply
    50,084x = 70,020 × 70,020
  4. Step 4: Simplify right side
    50,084x = 4,902,800,400
  5. Step 5: Solve for x
    x = 4,902,800,400/50,084
  6. Step 6: Final answer
    x = 97,891.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.