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Finding the Third Proportional to 72,816 and 109,736

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Solution

The third proportional to 72,816 and 109,736 is: 165,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,816 : 109,736 = 109,736 : x
  2. Step 2: Convert to fraction form
    72,816/109,736 = 109,736/x
  3. Step 3: Cross multiply
    72,816x = 109,736 × 109,736
  4. Step 4: Simplify right side
    72,816x = 12,041,989,696
  5. Step 5: Solve for x
    x = 12,041,989,696/72,816
  6. Step 6: Final answer
    x = 165,375.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.