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Finding the Third Proportional to 39,735 and 87,306

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Solution

The third proportional to 39,735 and 87,306 is: 191,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,735 : 87,306 = 87,306 : x
  2. Step 2: Convert to fraction form
    39,735/87,306 = 87,306/x
  3. Step 3: Cross multiply
    39,735x = 87,306 × 87,306
  4. Step 4: Simplify right side
    39,735x = 7,622,337,636
  5. Step 5: Solve for x
    x = 7,622,337,636/39,735
  6. Step 6: Final answer
    x = 191,829.31

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Why These Related Problems?

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