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Finding the Third Proportional to 64,214 and 154,696

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Solution

The third proportional to 64,214 and 154,696 is: 372,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214 : 154,696 = 154,696 : x
  2. Step 2: Convert to fraction form
    64,214/154,696 = 154,696/x
  3. Step 3: Cross multiply
    64,214x = 154,696 × 154,696
  4. Step 4: Simplify right side
    64,214x = 23,930,852,416
  5. Step 5: Solve for x
    x = 23,930,852,416/64,214
  6. Step 6: Final answer
    x = 372,673.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.