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Finding the Third Proportional to 107,367.75 and 145,742.63

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Solution

The third proportional to 107,367.75 and 145,742.63 is: 197,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,367.75 : 145,742.63 = 145,742.63 : x
  2. Step 2: Convert to fraction form
    107,367.75/145,742.63 = 145,742.63/x
  3. Step 3: Cross multiply
    107,367.75x = 145,742.63 × 145,742.63
  4. Step 4: Simplify right side
    107,367.75x = 21,240,912,741.89
  5. Step 5: Solve for x
    x = 21,240,912,741.89/107,367.75
  6. Step 6: Final answer
    x = 197,833.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.