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Finding the Third Proportional to 76,541 and 162,184

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Solution

The third proportional to 76,541 and 162,184 is: 343,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,541 : 162,184 = 162,184 : x
  2. Step 2: Convert to fraction form
    76,541/162,184 = 162,184/x
  3. Step 3: Cross multiply
    76,541x = 162,184 × 162,184
  4. Step 4: Simplify right side
    76,541x = 26,303,649,856
  5. Step 5: Solve for x
    x = 26,303,649,856/76,541
  6. Step 6: Final answer
    x = 343,654.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.