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Finding the Third Proportional to 54,535 and 80,005

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Solution

The third proportional to 54,535 and 80,005 is: 117,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,535 : 80,005 = 80,005 : x
  2. Step 2: Convert to fraction form
    54,535/80,005 = 80,005/x
  3. Step 3: Cross multiply
    54,535x = 80,005 × 80,005
  4. Step 4: Simplify right side
    54,535x = 6,400,800,025
  5. Step 5: Solve for x
    x = 6,400,800,025/54,535
  6. Step 6: Final answer
    x = 117,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.