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Finding the Third Proportional to 76,176 and 167,121

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Solution

The third proportional to 76,176 and 167,121 is: 366,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 167,121 = 167,121 : x
  2. Step 2: Convert to fraction form
    76,176/167,121 = 167,121/x
  3. Step 3: Cross multiply
    76,176x = 167,121 × 167,121
  4. Step 4: Simplify right side
    76,176x = 27,929,428,641
  5. Step 5: Solve for x
    x = 27,929,428,641/76,176
  6. Step 6: Final answer
    x = 366,643.41

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Why These Related Problems?

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