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Finding the Third Proportional to 54,840 and 120,153

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Solution

The third proportional to 54,840 and 120,153 is: 263,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 120,153 = 120,153 : x
  2. Step 2: Convert to fraction form
    54,840/120,153 = 120,153/x
  3. Step 3: Cross multiply
    54,840x = 120,153 × 120,153
  4. Step 4: Simplify right side
    54,840x = 14,436,743,409
  5. Step 5: Solve for x
    x = 14,436,743,409/54,840
  6. Step 6: Final answer
    x = 263,252.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.