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Finding the Third Proportional to 59,736 and 128,326

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Solution

The third proportional to 59,736 and 128,326 is: 275,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,736 : 128,326 = 128,326 : x
  2. Step 2: Convert to fraction form
    59,736/128,326 = 128,326/x
  3. Step 3: Cross multiply
    59,736x = 128,326 × 128,326
  4. Step 4: Simplify right side
    59,736x = 16,467,562,276
  5. Step 5: Solve for x
    x = 16,467,562,276/59,736
  6. Step 6: Final answer
    x = 275,672.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.