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Finding the Third Proportional to 43,900 and 96,128

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Solution

The third proportional to 43,900 and 96,128 is: 210,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,900 : 96,128 = 96,128 : x
  2. Step 2: Convert to fraction form
    43,900/96,128 = 96,128/x
  3. Step 3: Cross multiply
    43,900x = 96,128 × 96,128
  4. Step 4: Simplify right side
    43,900x = 9,240,592,384
  5. Step 5: Solve for x
    x = 9,240,592,384/43,900
  6. Step 6: Final answer
    x = 210,491.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.