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Finding the Third Proportional to 53,812 and 80,910

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Solution

The third proportional to 53,812 and 80,910 is: 121,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812 : 80,910 = 80,910 : x
  2. Step 2: Convert to fraction form
    53,812/80,910 = 80,910/x
  3. Step 3: Cross multiply
    53,812x = 80,910 × 80,910
  4. Step 4: Simplify right side
    53,812x = 6,546,428,100
  5. Step 5: Solve for x
    x = 6,546,428,100/53,812
  6. Step 6: Final answer
    x = 121,653.69

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