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Finding the Third Proportional to 94,540.50 and 146,367

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Solution

The third proportional to 94,540.50 and 146,367 is: 226,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540.50 : 146,367 = 146,367 : x
  2. Step 2: Convert to fraction form
    94,540.50/146,367 = 146,367/x
  3. Step 3: Cross multiply
    94,540.50x = 146,367 × 146,367
  4. Step 4: Simplify right side
    94,540.50x = 21,423,298,689
  5. Step 5: Solve for x
    x = 21,423,298,689/94,540.50
  6. Step 6: Final answer
    x = 226,604.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.