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Finding the Third Proportional to 81,469.50 and 115,368

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Solution

The third proportional to 81,469.50 and 115,368 is: 163,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.50 : 115,368 = 115,368 : x
  2. Step 2: Convert to fraction form
    81,469.50/115,368 = 115,368/x
  3. Step 3: Cross multiply
    81,469.50x = 115,368 × 115,368
  4. Step 4: Simplify right side
    81,469.50x = 13,309,775,424
  5. Step 5: Solve for x
    x = 13,309,775,424/81,469.50
  6. Step 6: Final answer
    x = 163,371.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.