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Finding the Third Proportional to 39,592 and 86,960

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Solution

The third proportional to 39,592 and 86,960 is: 190,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,592 : 86,960 = 86,960 : x
  2. Step 2: Convert to fraction form
    39,592/86,960 = 86,960/x
  3. Step 3: Cross multiply
    39,592x = 86,960 × 86,960
  4. Step 4: Simplify right side
    39,592x = 7,562,041,600
  5. Step 5: Solve for x
    x = 7,562,041,600/39,592
  6. Step 6: Final answer
    x = 190,999.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.