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Finding the Third Proportional to 76,392 and 167,829

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Solution

The third proportional to 76,392 and 167,829 is: 368,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392 : 167,829 = 167,829 : x
  2. Step 2: Convert to fraction form
    76,392/167,829 = 167,829/x
  3. Step 3: Cross multiply
    76,392x = 167,829 × 167,829
  4. Step 4: Simplify right side
    76,392x = 28,166,573,241
  5. Step 5: Solve for x
    x = 28,166,573,241/76,392
  6. Step 6: Final answer
    x = 368,711.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.