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Finding the Third Proportional to 65,769.75 and 142,048.69

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Solution

The third proportional to 65,769.75 and 142,048.69 is: 306,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.75 : 142,048.69 = 142,048.69 : x
  2. Step 2: Convert to fraction form
    65,769.75/142,048.69 = 142,048.69/x
  3. Step 3: Cross multiply
    65,769.75x = 142,048.69 × 142,048.69
  4. Step 4: Simplify right side
    65,769.75x = 20,177,829,620.47
  5. Step 5: Solve for x
    x = 20,177,829,620.47/65,769.75
  6. Step 6: Final answer
    x = 306,794.99

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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.