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Finding the Third Proportional to 76,131 and 163,927

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Solution

The third proportional to 76,131 and 163,927 is: 352,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,131 : 163,927 = 163,927 : x
  2. Step 2: Convert to fraction form
    76,131/163,927 = 163,927/x
  3. Step 3: Cross multiply
    76,131x = 163,927 × 163,927
  4. Step 4: Simplify right side
    76,131x = 26,872,061,329
  5. Step 5: Solve for x
    x = 26,872,061,329/76,131
  6. Step 6: Final answer
    x = 352,971.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.