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Finding the Third Proportional to 92,200 and 147,876

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Solution

The third proportional to 92,200 and 147,876 is: 237,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200 : 147,876 = 147,876 : x
  2. Step 2: Convert to fraction form
    92,200/147,876 = 147,876/x
  3. Step 3: Cross multiply
    92,200x = 147,876 × 147,876
  4. Step 4: Simplify right side
    92,200x = 21,867,311,376
  5. Step 5: Solve for x
    x = 21,867,311,376/92,200
  6. Step 6: Final answer
    x = 237,172.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.