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Finding the Third Proportional to 76,640 and 167,834

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Solution

The third proportional to 76,640 and 167,834 is: 367,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 167,834 = 167,834 : x
  2. Step 2: Convert to fraction form
    76,640/167,834 = 167,834/x
  3. Step 3: Cross multiply
    76,640x = 167,834 × 167,834
  4. Step 4: Simplify right side
    76,640x = 28,168,251,556
  5. Step 5: Solve for x
    x = 28,168,251,556/76,640
  6. Step 6: Final answer
    x = 367,539.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.