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Finding the Third Proportional to 114,734.50 and 161,286

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Solution

The third proportional to 114,734.50 and 161,286 is: 226,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,734.50 : 161,286 = 161,286 : x
  2. Step 2: Convert to fraction form
    114,734.50/161,286 = 161,286/x
  3. Step 3: Cross multiply
    114,734.50x = 161,286 × 161,286
  4. Step 4: Simplify right side
    114,734.50x = 26,013,173,796
  5. Step 5: Solve for x
    x = 26,013,173,796/114,734.50
  6. Step 6: Final answer
    x = 226,724.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.