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Finding the Third Proportional to 32,116 and 68,696

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Solution

The third proportional to 32,116 and 68,696 is: 146,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116 : 68,696 = 68,696 : x
  2. Step 2: Convert to fraction form
    32,116/68,696 = 68,696/x
  3. Step 3: Cross multiply
    32,116x = 68,696 × 68,696
  4. Step 4: Simplify right side
    32,116x = 4,719,140,416
  5. Step 5: Solve for x
    x = 4,719,140,416/32,116
  6. Step 6: Final answer
    x = 146,940.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.