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Finding the Third Proportional to 106,435.50 and 158,730.75

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Solution

The third proportional to 106,435.50 and 158,730.75 is: 236,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,435.50 : 158,730.75 = 158,730.75 : x
  2. Step 2: Convert to fraction form
    106,435.50/158,730.75 = 158,730.75/x
  3. Step 3: Cross multiply
    106,435.50x = 158,730.75 × 158,730.75
  4. Step 4: Simplify right side
    106,435.50x = 25,195,450,995.56
  5. Step 5: Solve for x
    x = 25,195,450,995.56/106,435.50
  6. Step 6: Final answer
    x = 236,720.37

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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.