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Finding the Third Proportional to 69,744 and 143,160

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Solution

The third proportional to 69,744 and 143,160 is: 293,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,744 : 143,160 = 143,160 : x
  2. Step 2: Convert to fraction form
    69,744/143,160 = 143,160/x
  3. Step 3: Cross multiply
    69,744x = 143,160 × 143,160
  4. Step 4: Simplify right side
    69,744x = 20,494,785,600
  5. Step 5: Solve for x
    x = 20,494,785,600/69,744
  6. Step 6: Final answer
    x = 293,857.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.