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Finding the Third Proportional to 54,368 and 84,027

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Solution

The third proportional to 54,368 and 84,027 is: 129,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,368 : 84,027 = 84,027 : x
  2. Step 2: Convert to fraction form
    54,368/84,027 = 84,027/x
  3. Step 3: Cross multiply
    54,368x = 84,027 × 84,027
  4. Step 4: Simplify right side
    54,368x = 7,060,536,729
  5. Step 5: Solve for x
    x = 7,060,536,729/54,368
  6. Step 6: Final answer
    x = 129,865.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.