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Finding the Third Proportional to 59,296 and 128,896

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Solution

The third proportional to 59,296 and 128,896 is: 280,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,296 : 128,896 = 128,896 : x
  2. Step 2: Convert to fraction form
    59,296/128,896 = 128,896/x
  3. Step 3: Cross multiply
    59,296x = 128,896 × 128,896
  4. Step 4: Simplify right side
    59,296x = 16,614,178,816
  5. Step 5: Solve for x
    x = 16,614,178,816/59,296
  6. Step 6: Final answer
    x = 280,190.55

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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.