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Finding the Third Proportional to 85,828 and 128,255

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Solution

The third proportional to 85,828 and 128,255 is: 191,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,828 : 128,255 = 128,255 : x
  2. Step 2: Convert to fraction form
    85,828/128,255 = 128,255/x
  3. Step 3: Cross multiply
    85,828x = 128,255 × 128,255
  4. Step 4: Simplify right side
    85,828x = 16,449,345,025
  5. Step 5: Solve for x
    x = 16,449,345,025/85,828
  6. Step 6: Final answer
    x = 191,654.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.