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Finding the Third Proportional to 54,135 and 80,946

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Solution

The third proportional to 54,135 and 80,946 is: 121,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,135 : 80,946 = 80,946 : x
  2. Step 2: Convert to fraction form
    54,135/80,946 = 80,946/x
  3. Step 3: Cross multiply
    54,135x = 80,946 × 80,946
  4. Step 4: Simplify right side
    54,135x = 6,552,254,916
  5. Step 5: Solve for x
    x = 6,552,254,916/54,135
  6. Step 6: Final answer
    x = 121,035.47

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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.