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Finding the Third Proportional to 94,311 and 144,747

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Solution

The third proportional to 94,311 and 144,747 is: 222,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,311 : 144,747 = 144,747 : x
  2. Step 2: Convert to fraction form
    94,311/144,747 = 144,747/x
  3. Step 3: Cross multiply
    94,311x = 144,747 × 144,747
  4. Step 4: Simplify right side
    94,311x = 20,951,694,009
  5. Step 5: Solve for x
    x = 20,951,694,009/94,311
  6. Step 6: Final answer
    x = 222,155.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.