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Finding the Third Proportional to 108,626.75 and 159,051.25

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Solution

The third proportional to 108,626.75 and 159,051.25 is: 232,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,626.75 : 159,051.25 = 159,051.25 : x
  2. Step 2: Convert to fraction form
    108,626.75/159,051.25 = 159,051.25/x
  3. Step 3: Cross multiply
    108,626.75x = 159,051.25 × 159,051.25
  4. Step 4: Simplify right side
    108,626.75x = 25,297,300,126.56
  5. Step 5: Solve for x
    x = 25,297,300,126.56/108,626.75
  6. Step 6: Final answer
    x = 232,882.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.