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Finding the Third Proportional to 54,819 and 74,286

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Solution

The third proportional to 54,819 and 74,286 is: 100,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819 : 74,286 = 74,286 : x
  2. Step 2: Convert to fraction form
    54,819/74,286 = 74,286/x
  3. Step 3: Cross multiply
    54,819x = 74,286 × 74,286
  4. Step 4: Simplify right side
    54,819x = 5,518,409,796
  5. Step 5: Solve for x
    x = 5,518,409,796/54,819
  6. Step 6: Final answer
    x = 100,666.01

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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.