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Finding the Third Proportional to 39,734 and 90,588

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Solution

The third proportional to 39,734 and 90,588 is: 206,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,734 : 90,588 = 90,588 : x
  2. Step 2: Convert to fraction form
    39,734/90,588 = 90,588/x
  3. Step 3: Cross multiply
    39,734x = 90,588 × 90,588
  4. Step 4: Simplify right side
    39,734x = 8,206,185,744
  5. Step 5: Solve for x
    x = 8,206,185,744/39,734
  6. Step 6: Final answer
    x = 206,528.06

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.