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Finding the Third Proportional to 64,206 and 154,677

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Solution

The third proportional to 64,206 and 154,677 is: 372,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 154,677 = 154,677 : x
  2. Step 2: Convert to fraction form
    64,206/154,677 = 154,677/x
  3. Step 3: Cross multiply
    64,206x = 154,677 × 154,677
  4. Step 4: Simplify right side
    64,206x = 23,924,974,329
  5. Step 5: Solve for x
    x = 23,924,974,329/64,206
  6. Step 6: Final answer
    x = 372,628.33

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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.