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Finding the Third Proportional to 50,087 and 70,027

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Solution

The third proportional to 50,087 and 70,027 is: 97,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,087 : 70,027 = 70,027 : x
  2. Step 2: Convert to fraction form
    50,087/70,027 = 70,027/x
  3. Step 3: Cross multiply
    50,087x = 70,027 × 70,027
  4. Step 4: Simplify right side
    50,087x = 4,903,780,729
  5. Step 5: Solve for x
    x = 4,903,780,729/50,087
  6. Step 6: Final answer
    x = 97,905.26

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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.