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Finding the Third Proportional to 70,034 and 105,100

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Solution

The third proportional to 70,034 and 105,100 is: 157,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034 : 105,100 = 105,100 : x
  2. Step 2: Convert to fraction form
    70,034/105,100 = 105,100/x
  3. Step 3: Cross multiply
    70,034x = 105,100 × 105,100
  4. Step 4: Simplify right side
    70,034x = 11,046,010,000
  5. Step 5: Solve for x
    x = 11,046,010,000/70,034
  6. Step 6: Final answer
    x = 157,723.53

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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.