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Finding the Third Proportional to 67,047.75 and 139,608.56

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Solution

The third proportional to 67,047.75 and 139,608.56 is: 290,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 139,608.56 = 139,608.56 : x
  2. Step 2: Convert to fraction form
    67,047.75/139,608.56 = 139,608.56/x
  3. Step 3: Cross multiply
    67,047.75x = 139,608.56 × 139,608.56
  4. Step 4: Simplify right side
    67,047.75x = 19,490,550,723.32
  5. Step 5: Solve for x
    x = 19,490,550,723.32/67,047.75
  6. Step 6: Final answer
    x = 290,696.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.