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Finding the Third Proportional to 43,500 and 92,331

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Solution

The third proportional to 43,500 and 92,331 is: 195,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,500 : 92,331 = 92,331 : x
  2. Step 2: Convert to fraction form
    43,500/92,331 = 92,331/x
  3. Step 3: Cross multiply
    43,500x = 92,331 × 92,331
  4. Step 4: Simplify right side
    43,500x = 8,525,013,561
  5. Step 5: Solve for x
    x = 8,525,013,561/43,500
  6. Step 6: Final answer
    x = 195,977.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.