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Finding the Third Proportional to 92,172 and 137,676

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Solution

The third proportional to 92,172 and 137,676 is: 205,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,172 : 137,676 = 137,676 : x
  2. Step 2: Convert to fraction form
    92,172/137,676 = 137,676/x
  3. Step 3: Cross multiply
    92,172x = 137,676 × 137,676
  4. Step 4: Simplify right side
    92,172x = 18,954,680,976
  5. Step 5: Solve for x
    x = 18,954,680,976/92,172
  6. Step 6: Final answer
    x = 205,644.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.