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Finding the Third Proportional to 54,096 and 80,928

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Solution

The third proportional to 54,096 and 80,928 is: 121,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096 : 80,928 = 80,928 : x
  2. Step 2: Convert to fraction form
    54,096/80,928 = 80,928/x
  3. Step 3: Cross multiply
    54,096x = 80,928 × 80,928
  4. Step 4: Simplify right side
    54,096x = 6,549,341,184
  5. Step 5: Solve for x
    x = 6,549,341,184/54,096
  6. Step 6: Final answer
    x = 121,068.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.