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Finding the Third Proportional to 66,957.75 and 139,470.75

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Solution

The third proportional to 66,957.75 and 139,470.75 is: 290,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,957.75 : 139,470.75 = 139,470.75 : x
  2. Step 2: Convert to fraction form
    66,957.75/139,470.75 = 139,470.75/x
  3. Step 3: Cross multiply
    66,957.75x = 139,470.75 × 139,470.75
  4. Step 4: Simplify right side
    66,957.75x = 19,452,090,105.56
  5. Step 5: Solve for x
    x = 19,452,090,105.56/66,957.75
  6. Step 6: Final answer
    x = 290,512.90

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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.