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Finding the Third Proportional to 65,769.19 and 142,047.56

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Solution

The third proportional to 65,769.19 and 142,047.56 is: 306,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.19 : 142,047.56 = 142,047.56 : x
  2. Step 2: Convert to fraction form
    65,769.19/142,047.56 = 142,047.56/x
  3. Step 3: Cross multiply
    65,769.19x = 142,047.56 × 142,047.56
  4. Step 4: Simplify right side
    65,769.19x = 20,177,510,012.19
  5. Step 5: Solve for x
    x = 20,177,510,012.19/65,769.19
  6. Step 6: Final answer
    x = 306,792.75

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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.