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Finding the Third Proportional to 54,829 and 119,573

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Solution

The third proportional to 54,829 and 119,573 is: 260,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829 : 119,573 = 119,573 : x
  2. Step 2: Convert to fraction form
    54,829/119,573 = 119,573/x
  3. Step 3: Cross multiply
    54,829x = 119,573 × 119,573
  4. Step 4: Simplify right side
    54,829x = 14,297,702,329
  5. Step 5: Solve for x
    x = 14,297,702,329/54,829
  6. Step 6: Final answer
    x = 260,768.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.