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Finding the Third Proportional to 85,132 and 172,696

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Solution

The third proportional to 85,132 and 172,696 is: 350,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,132 : 172,696 = 172,696 : x
  2. Step 2: Convert to fraction form
    85,132/172,696 = 172,696/x
  3. Step 3: Cross multiply
    85,132x = 172,696 × 172,696
  4. Step 4: Simplify right side
    85,132x = 29,823,908,416
  5. Step 5: Solve for x
    x = 29,823,908,416/85,132
  6. Step 6: Final answer
    x = 350,325.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.