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Finding the Third Proportional to 54,048 and 118,752

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Solution

The third proportional to 54,048 and 118,752 is: 260,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048 : 118,752 = 118,752 : x
  2. Step 2: Convert to fraction form
    54,048/118,752 = 118,752/x
  3. Step 3: Cross multiply
    54,048x = 118,752 × 118,752
  4. Step 4: Simplify right side
    54,048x = 14,102,037,504
  5. Step 5: Solve for x
    x = 14,102,037,504/54,048
  6. Step 6: Final answer
    x = 260,916.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.