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Finding the Third Proportional to 39,081 and 84,088

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Solution

The third proportional to 39,081 and 84,088 is: 180,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,081 : 84,088 = 84,088 : x
  2. Step 2: Convert to fraction form
    39,081/84,088 = 84,088/x
  3. Step 3: Cross multiply
    39,081x = 84,088 × 84,088
  4. Step 4: Simplify right side
    39,081x = 7,070,791,744
  5. Step 5: Solve for x
    x = 7,070,791,744/39,081
  6. Step 6: Final answer
    x = 180,926.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.