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Finding the Third Proportional to 70,920 and 94,628.25

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Solution

The third proportional to 70,920 and 94,628.25 is: 126,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,920 : 94,628.25 = 94,628.25 : x
  2. Step 2: Convert to fraction form
    70,920/94,628.25 = 94,628.25/x
  3. Step 3: Cross multiply
    70,920x = 94,628.25 × 94,628.25
  4. Step 4: Simplify right side
    70,920x = 8,954,505,698.06
  5. Step 5: Solve for x
    x = 8,954,505,698.06/70,920
  6. Step 6: Final answer
    x = 126,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.