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Finding the Third Proportional to 76,257 and 161,226

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Solution

The third proportional to 76,257 and 161,226 is: 340,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,257 : 161,226 = 161,226 : x
  2. Step 2: Convert to fraction form
    76,257/161,226 = 161,226/x
  3. Step 3: Cross multiply
    76,257x = 161,226 × 161,226
  4. Step 4: Simplify right side
    76,257x = 25,993,823,076
  5. Step 5: Solve for x
    x = 25,993,823,076/76,257
  6. Step 6: Final answer
    x = 340,871.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.