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Finding the Third Proportional to 70,161.19 and 107,836.31

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Solution

The third proportional to 70,161.19 and 107,836.31 is: 165,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.19 : 107,836.31 = 107,836.31 : x
  2. Step 2: Convert to fraction form
    70,161.19/107,836.31 = 107,836.31/x
  3. Step 3: Cross multiply
    70,161.19x = 107,836.31 × 107,836.31
  4. Step 4: Simplify right side
    70,161.19x = 11,628,670,293.60
  5. Step 5: Solve for x
    x = 11,628,670,293.60/70,161.19
  6. Step 6: Final answer
    x = 165,742.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.