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Finding the Third Proportional to 54,271 and 84,880

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Solution

The third proportional to 54,271 and 84,880 is: 132,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,271 : 84,880 = 84,880 : x
  2. Step 2: Convert to fraction form
    54,271/84,880 = 84,880/x
  3. Step 3: Cross multiply
    54,271x = 84,880 × 84,880
  4. Step 4: Simplify right side
    54,271x = 7,204,614,400
  5. Step 5: Solve for x
    x = 7,204,614,400/54,271
  6. Step 6: Final answer
    x = 132,752.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.