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Finding the Third Proportional to 76,093 and 162,738

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Solution

The third proportional to 76,093 and 162,738 is: 348,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093 : 162,738 = 162,738 : x
  2. Step 2: Convert to fraction form
    76,093/162,738 = 162,738/x
  3. Step 3: Cross multiply
    76,093x = 162,738 × 162,738
  4. Step 4: Simplify right side
    76,093x = 26,483,656,644
  5. Step 5: Solve for x
    x = 26,483,656,644/76,093
  6. Step 6: Final answer
    x = 348,043.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.