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Finding the Third Proportional to 85,256.44 and 133,351.88

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Solution

The third proportional to 85,256.44 and 133,351.88 is: 208,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,256.44 : 133,351.88 = 133,351.88 : x
  2. Step 2: Convert to fraction form
    85,256.44/133,351.88 = 133,351.88/x
  3. Step 3: Cross multiply
    85,256.44x = 133,351.88 × 133,351.88
  4. Step 4: Simplify right side
    85,256.44x = 17,782,722,566.02
  5. Step 5: Solve for x
    x = 17,782,722,566.02/85,256.44
  6. Step 6: Final answer
    x = 208,579.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.