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Finding the Third Proportional to 76,541 and 167,851

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Solution

The third proportional to 76,541 and 167,851 is: 368,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,541 : 167,851 = 167,851 : x
  2. Step 2: Convert to fraction form
    76,541/167,851 = 167,851/x
  3. Step 3: Cross multiply
    76,541x = 167,851 × 167,851
  4. Step 4: Simplify right side
    76,541x = 28,173,958,201
  5. Step 5: Solve for x
    x = 28,173,958,201/76,541
  6. Step 6: Final answer
    x = 368,089.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.