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Finding the Third Proportional to 54,546 and 80,025

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Solution

The third proportional to 54,546 and 80,025 is: 117,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 80,025 = 80,025 : x
  2. Step 2: Convert to fraction form
    54,546/80,025 = 80,025/x
  3. Step 3: Cross multiply
    54,546x = 80,025 × 80,025
  4. Step 4: Simplify right side
    54,546x = 6,404,000,625
  5. Step 5: Solve for x
    x = 6,404,000,625/54,546
  6. Step 6: Final answer
    x = 117,405.50

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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.