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Finding the Third Proportional to 70,033.36 and 105,120.28

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Solution

The third proportional to 70,033.36 and 105,120.28 is: 157,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.36 : 105,120.28 = 105,120.28 : x
  2. Step 2: Convert to fraction form
    70,033.36/105,120.28 = 105,120.28/x
  3. Step 3: Cross multiply
    70,033.36x = 105,120.28 × 105,120.28
  4. Step 4: Simplify right side
    70,033.36x = 11,050,273,530.08
  5. Step 5: Solve for x
    x = 11,050,273,530.08/70,033.36
  6. Step 6: Final answer
    x = 157,785.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.