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Finding the Third Proportional to 70,025.25 and 105,087.75

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Solution

The third proportional to 70,025.25 and 105,087.75 is: 157,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,025.25 : 105,087.75 = 105,087.75 : x
  2. Step 2: Convert to fraction form
    70,025.25/105,087.75 = 105,087.75/x
  3. Step 3: Cross multiply
    70,025.25x = 105,087.75 × 105,087.75
  4. Step 4: Simplify right side
    70,025.25x = 11,043,435,200.06
  5. Step 5: Solve for x
    x = 11,043,435,200.06/70,025.25
  6. Step 6: Final answer
    x = 157,706.47

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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.