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Finding the Third Proportional to 54,816 and 74,277

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Solution

The third proportional to 54,816 and 74,277 is: 100,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816 : 74,277 = 74,277 : x
  2. Step 2: Convert to fraction form
    54,816/74,277 = 74,277/x
  3. Step 3: Cross multiply
    54,816x = 74,277 × 74,277
  4. Step 4: Simplify right side
    54,816x = 5,517,072,729
  5. Step 5: Solve for x
    x = 5,517,072,729/54,816
  6. Step 6: Final answer
    x = 100,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.