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Finding the Third Proportional to 76,192 and 161,600

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Solution

The third proportional to 76,192 and 161,600 is: 342,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,192 : 161,600 = 161,600 : x
  2. Step 2: Convert to fraction form
    76,192/161,600 = 161,600/x
  3. Step 3: Cross multiply
    76,192x = 161,600 × 161,600
  4. Step 4: Simplify right side
    76,192x = 26,114,560,000
  5. Step 5: Solve for x
    x = 26,114,560,000/76,192
  6. Step 6: Final answer
    x = 342,746.75

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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.