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Finding the Third Proportional to 38,960 and 85,696

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Solution

The third proportional to 38,960 and 85,696 is: 188,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960 : 85,696 = 85,696 : x
  2. Step 2: Convert to fraction form
    38,960/85,696 = 85,696/x
  3. Step 3: Cross multiply
    38,960x = 85,696 × 85,696
  4. Step 4: Simplify right side
    38,960x = 7,343,804,416
  5. Step 5: Solve for x
    x = 7,343,804,416/38,960
  6. Step 6: Final answer
    x = 188,496.01

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