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Finding the Third Proportional to 81,218 and 122,043

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Solution

The third proportional to 81,218 and 122,043 is: 183,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218 : 122,043 = 122,043 : x
  2. Step 2: Convert to fraction form
    81,218/122,043 = 122,043/x
  3. Step 3: Cross multiply
    81,218x = 122,043 × 122,043
  4. Step 4: Simplify right side
    81,218x = 14,894,493,849
  5. Step 5: Solve for x
    x = 14,894,493,849/81,218
  6. Step 6: Final answer
    x = 183,389.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.