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Finding the Third Proportional to 69,815.75 and 150,701.25

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Solution

The third proportional to 69,815.75 and 150,701.25 is: 325,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,815.75 : 150,701.25 = 150,701.25 : x
  2. Step 2: Convert to fraction form
    69,815.75/150,701.25 = 150,701.25/x
  3. Step 3: Cross multiply
    69,815.75x = 150,701.25 × 150,701.25
  4. Step 4: Simplify right side
    69,815.75x = 22,710,866,751.56
  5. Step 5: Solve for x
    x = 22,710,866,751.56/69,815.75
  6. Step 6: Final answer
    x = 325,297.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.