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Finding the Third Proportional to 39,744 and 86,960

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Solution

The third proportional to 39,744 and 86,960 is: 190,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 86,960 = 86,960 : x
  2. Step 2: Convert to fraction form
    39,744/86,960 = 86,960/x
  3. Step 3: Cross multiply
    39,744x = 86,960 × 86,960
  4. Step 4: Simplify right side
    39,744x = 7,562,041,600
  5. Step 5: Solve for x
    x = 7,562,041,600/39,744
  6. Step 6: Final answer
    x = 190,268.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.