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Finding the Third Proportional to 54,914 and 74,583

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Solution

The third proportional to 54,914 and 74,583 is: 101,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914 : 74,583 = 74,583 : x
  2. Step 2: Convert to fraction form
    54,914/74,583 = 74,583/x
  3. Step 3: Cross multiply
    54,914x = 74,583 × 74,583
  4. Step 4: Simplify right side
    54,914x = 5,562,623,889
  5. Step 5: Solve for x
    x = 5,562,623,889/54,914
  6. Step 6: Final answer
    x = 101,297.01

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