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Finding the Third Proportional to 64,611 and 138,609

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Solution

The third proportional to 64,611 and 138,609 is: 297,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,611 : 138,609 = 138,609 : x
  2. Step 2: Convert to fraction form
    64,611/138,609 = 138,609/x
  3. Step 3: Cross multiply
    64,611x = 138,609 × 138,609
  4. Step 4: Simplify right side
    64,611x = 19,212,454,881
  5. Step 5: Solve for x
    x = 19,212,454,881/64,611
  6. Step 6: Final answer
    x = 297,355.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.