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Finding the Third Proportional to 53,504 and 112,977

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Solution

The third proportional to 53,504 and 112,977 is: 238,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,504 : 112,977 = 112,977 : x
  2. Step 2: Convert to fraction form
    53,504/112,977 = 112,977/x
  3. Step 3: Cross multiply
    53,504x = 112,977 × 112,977
  4. Step 4: Simplify right side
    53,504x = 12,763,802,529
  5. Step 5: Solve for x
    x = 12,763,802,529/53,504
  6. Step 6: Final answer
    x = 238,557.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.