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Finding the Third Proportional to 75,212.44 and 163,918.69

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Solution

The third proportional to 75,212.44 and 163,918.69 is: 357,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.44 : 163,918.69 = 163,918.69 : x
  2. Step 2: Convert to fraction form
    75,212.44/163,918.69 = 163,918.69/x
  3. Step 3: Cross multiply
    75,212.44x = 163,918.69 × 163,918.69
  4. Step 4: Simplify right side
    75,212.44x = 26,869,336,111.72
  5. Step 5: Solve for x
    x = 26,869,336,111.72/75,212.44
  6. Step 6: Final answer
    x = 357,245.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.