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Finding the Third Proportional to 94,600 and 146,481

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Solution

The third proportional to 94,600 and 146,481 is: 226,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,600 : 146,481 = 146,481 : x
  2. Step 2: Convert to fraction form
    94,600/146,481 = 146,481/x
  3. Step 3: Cross multiply
    94,600x = 146,481 × 146,481
  4. Step 4: Simplify right side
    94,600x = 21,456,683,361
  5. Step 5: Solve for x
    x = 21,456,683,361/94,600
  6. Step 6: Final answer
    x = 226,814.83

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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.