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Finding the Third Proportional to 69,106.92 and 150,720.75

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Solution

The third proportional to 69,106.92 and 150,720.75 is: 328,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.92 : 150,720.75 = 150,720.75 : x
  2. Step 2: Convert to fraction form
    69,106.92/150,720.75 = 150,720.75/x
  3. Step 3: Cross multiply
    69,106.92x = 150,720.75 × 150,720.75
  4. Step 4: Simplify right side
    69,106.92x = 22,716,744,480.56
  5. Step 5: Solve for x
    x = 22,716,744,480.56/69,106.92
  6. Step 6: Final answer
    x = 328,718.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.