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Finding the Third Proportional to 72,156 and 158,676

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Solution

The third proportional to 72,156 and 158,676 is: 348,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,156 : 158,676 = 158,676 : x
  2. Step 2: Convert to fraction form
    72,156/158,676 = 158,676/x
  3. Step 3: Cross multiply
    72,156x = 158,676 × 158,676
  4. Step 4: Simplify right side
    72,156x = 25,178,072,976
  5. Step 5: Solve for x
    x = 25,178,072,976/72,156
  6. Step 6: Final answer
    x = 348,939.42

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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.