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Finding the Third Proportional to 72,120 and 155,736

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Solution

The third proportional to 72,120 and 155,736 is: 336,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,120 : 155,736 = 155,736 : x
  2. Step 2: Convert to fraction form
    72,120/155,736 = 155,736/x
  3. Step 3: Cross multiply
    72,120x = 155,736 × 155,736
  4. Step 4: Simplify right side
    72,120x = 24,253,701,696
  5. Step 5: Solve for x
    x = 24,253,701,696/72,120
  6. Step 6: Final answer
    x = 336,296.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.