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Finding the Third Proportional to 65.81 and 143.33

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Solution

The third proportional to 65.81 and 143.33 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 143.33 = 143.33 : x
  2. Step 2: Convert to fraction form
    65.81/143.33 = 143.33/x
  3. Step 3: Cross multiply
    65.81x = 143.33 × 143.33
  4. Step 4: Simplify right side
    65.81x = 20,544.07
  5. Step 5: Solve for x
    x = 20,544.07/65.81
  6. Step 6: Final answer
    x = 312.16

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Why These Related Problems?

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