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Finding the Third Proportional to 81,652 and 176,696

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Solution

The third proportional to 81,652 and 176,696 is: 382,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652 : 176,696 = 176,696 : x
  2. Step 2: Convert to fraction form
    81,652/176,696 = 176,696/x
  3. Step 3: Cross multiply
    81,652x = 176,696 × 176,696
  4. Step 4: Simplify right side
    81,652x = 31,221,476,416
  5. Step 5: Solve for x
    x = 31,221,476,416/81,652
  6. Step 6: Final answer
    x = 382,372.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.