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Finding the Third Proportional to 76,327 and 162,796

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Solution

The third proportional to 76,327 and 162,796 is: 347,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327 : 162,796 = 162,796 : x
  2. Step 2: Convert to fraction form
    76,327/162,796 = 162,796/x
  3. Step 3: Cross multiply
    76,327x = 162,796 × 162,796
  4. Step 4: Simplify right side
    76,327x = 26,502,537,616
  5. Step 5: Solve for x
    x = 26,502,537,616/76,327
  6. Step 6: Final answer
    x = 347,223.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.