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Finding the Third Proportional to 70,899.75 and 106,349.25

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Solution

The third proportional to 70,899.75 and 106,349.25 is: 159,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,899.75 : 106,349.25 = 106,349.25 : x
  2. Step 2: Convert to fraction form
    70,899.75/106,349.25 = 106,349.25/x
  3. Step 3: Cross multiply
    70,899.75x = 106,349.25 × 106,349.25
  4. Step 4: Simplify right side
    70,899.75x = 11,310,162,975.56
  5. Step 5: Solve for x
    x = 11,310,162,975.56/70,899.75
  6. Step 6: Final answer
    x = 159,523.31

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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.