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Finding the Third Proportional to 76,494 and 167,764

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Solution

The third proportional to 76,494 and 167,764 is: 367,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494 : 167,764 = 167,764 : x
  2. Step 2: Convert to fraction form
    76,494/167,764 = 167,764/x
  3. Step 3: Cross multiply
    76,494x = 167,764 × 167,764
  4. Step 4: Simplify right side
    76,494x = 28,144,759,696
  5. Step 5: Solve for x
    x = 28,144,759,696/76,494
  6. Step 6: Final answer
    x = 367,934.21

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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.