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Finding the Third Proportional to 39,461 and 86,698

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Solution

The third proportional to 39,461 and 86,698 is: 190,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461 : 86,698 = 86,698 : x
  2. Step 2: Convert to fraction form
    39,461/86,698 = 86,698/x
  3. Step 3: Cross multiply
    39,461x = 86,698 × 86,698
  4. Step 4: Simplify right side
    39,461x = 7,516,543,204
  5. Step 5: Solve for x
    x = 7,516,543,204/39,461
  6. Step 6: Final answer
    x = 190,480.30

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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.