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Finding the Third Proportional to 39,464 and 81,160

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Solution

The third proportional to 39,464 and 81,160 is: 166,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464 : 81,160 = 81,160 : x
  2. Step 2: Convert to fraction form
    39,464/81,160 = 81,160/x
  3. Step 3: Cross multiply
    39,464x = 81,160 × 81,160
  4. Step 4: Simplify right side
    39,464x = 6,586,945,600
  5. Step 5: Solve for x
    x = 6,586,945,600/39,464
  6. Step 6: Final answer
    x = 166,910.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.