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Finding the Third Proportional to 61,696 and 134,722

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Solution

The third proportional to 61,696 and 134,722 is: 294,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,696 : 134,722 = 134,722 : x
  2. Step 2: Convert to fraction form
    61,696/134,722 = 134,722/x
  3. Step 3: Cross multiply
    61,696x = 134,722 × 134,722
  4. Step 4: Simplify right side
    61,696x = 18,150,017,284
  5. Step 5: Solve for x
    x = 18,150,017,284/61,696
  6. Step 6: Final answer
    x = 294,184.67

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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.