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Finding the Third Proportional to 65,453.91 and 142,571.81

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Solution

The third proportional to 65,453.91 and 142,571.81 is: 310,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,453.91 : 142,571.81 = 142,571.81 : x
  2. Step 2: Convert to fraction form
    65,453.91/142,571.81 = 142,571.81/x
  3. Step 3: Cross multiply
    65,453.91x = 142,571.81 × 142,571.81
  4. Step 4: Simplify right side
    65,453.91x = 20,326,721,719.54
  5. Step 5: Solve for x
    x = 20,326,721,719.54/65,453.91
  6. Step 6: Final answer
    x = 310,550.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.