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Finding the Third Proportional to 40,125.38 and 92,912.06

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Solution

The third proportional to 40,125.38 and 92,912.06 is: 215,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125.38 : 92,912.06 = 92,912.06 : x
  2. Step 2: Convert to fraction form
    40,125.38/92,912.06 = 92,912.06/x
  3. Step 3: Cross multiply
    40,125.38x = 92,912.06 × 92,912.06
  4. Step 4: Simplify right side
    40,125.38x = 8,632,651,358.00
  5. Step 5: Solve for x
    x = 8,632,651,358.00/40,125.38
  6. Step 6: Final answer
    x = 215,141.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.