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Finding the Third Proportional to 61,736 and 134,689

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Solution

The third proportional to 61,736 and 134,689 is: 293,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,736 : 134,689 = 134,689 : x
  2. Step 2: Convert to fraction form
    61,736/134,689 = 134,689/x
  3. Step 3: Cross multiply
    61,736x = 134,689 × 134,689
  4. Step 4: Simplify right side
    61,736x = 18,141,126,721
  5. Step 5: Solve for x
    x = 18,141,126,721/61,736
  6. Step 6: Final answer
    x = 293,850.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.