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Finding the Third Proportional to 54,680 and 119,828

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Solution

The third proportional to 54,680 and 119,828 is: 262,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680 : 119,828 = 119,828 : x
  2. Step 2: Convert to fraction form
    54,680/119,828 = 119,828/x
  3. Step 3: Cross multiply
    54,680x = 119,828 × 119,828
  4. Step 4: Simplify right side
    54,680x = 14,358,749,584
  5. Step 5: Solve for x
    x = 14,358,749,584/54,680
  6. Step 6: Final answer
    x = 262,596.01

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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.