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Finding the Third Proportional to 95,735.25 and 159,002.44

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Solution

The third proportional to 95,735.25 and 159,002.44 is: 264,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,735.25 : 159,002.44 = 159,002.44 : x
  2. Step 2: Convert to fraction form
    95,735.25/159,002.44 = 159,002.44/x
  3. Step 3: Cross multiply
    95,735.25x = 159,002.44 × 159,002.44
  4. Step 4: Simplify right side
    95,735.25x = 25,281,775,130.94
  5. Step 5: Solve for x
    x = 25,281,775,130.94/95,735.25
  6. Step 6: Final answer
    x = 264,080.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.