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Finding the Third Proportional to 54,621 and 119,124

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Solution

The third proportional to 54,621 and 119,124 is: 259,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,621 : 119,124 = 119,124 : x
  2. Step 2: Convert to fraction form
    54,621/119,124 = 119,124/x
  3. Step 3: Cross multiply
    54,621x = 119,124 × 119,124
  4. Step 4: Simplify right side
    54,621x = 14,190,527,376
  5. Step 5: Solve for x
    x = 14,190,527,376/54,621
  6. Step 6: Final answer
    x = 259,799.85

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Why These Related Problems?

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