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Finding the Third Proportional to 67,317 and 105,609

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Solution

The third proportional to 67,317 and 105,609 is: 165,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,317 : 105,609 = 105,609 : x
  2. Step 2: Convert to fraction form
    67,317/105,609 = 105,609/x
  3. Step 3: Cross multiply
    67,317x = 105,609 × 105,609
  4. Step 4: Simplify right side
    67,317x = 11,153,260,881
  5. Step 5: Solve for x
    x = 11,153,260,881/67,317
  6. Step 6: Final answer
    x = 165,682.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.