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Finding the Third Proportional to 76,128 and 167,520

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Solution

The third proportional to 76,128 and 167,520 is: 368,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 167,520 = 167,520 : x
  2. Step 2: Convert to fraction form
    76,128/167,520 = 167,520/x
  3. Step 3: Cross multiply
    76,128x = 167,520 × 167,520
  4. Step 4: Simplify right side
    76,128x = 28,062,950,400
  5. Step 5: Solve for x
    x = 28,062,950,400/76,128
  6. Step 6: Final answer
    x = 368,628.50

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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.