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Finding the Third Proportional to 76,461 and 167,682

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Solution

The third proportional to 76,461 and 167,682 is: 367,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461 : 167,682 = 167,682 : x
  2. Step 2: Convert to fraction form
    76,461/167,682 = 167,682/x
  3. Step 3: Cross multiply
    76,461x = 167,682 × 167,682
  4. Step 4: Simplify right side
    76,461x = 28,117,253,124
  5. Step 5: Solve for x
    x = 28,117,253,124/76,461
  6. Step 6: Final answer
    x = 367,733.26

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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.