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Finding the Third Proportional to 59,338 and 128,756

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Solution

The third proportional to 59,338 and 128,756 is: 279,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,338 : 128,756 = 128,756 : x
  2. Step 2: Convert to fraction form
    59,338/128,756 = 128,756/x
  3. Step 3: Cross multiply
    59,338x = 128,756 × 128,756
  4. Step 4: Simplify right side
    59,338x = 16,578,107,536
  5. Step 5: Solve for x
    x = 16,578,107,536/59,338
  6. Step 6: Final answer
    x = 279,384.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.