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Finding the Third Proportional to 45,366 and 68,097

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Solution

The third proportional to 45,366 and 68,097 is: 102,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,366 : 68,097 = 68,097 : x
  2. Step 2: Convert to fraction form
    45,366/68,097 = 68,097/x
  3. Step 3: Cross multiply
    45,366x = 68,097 × 68,097
  4. Step 4: Simplify right side
    45,366x = 4,637,201,409
  5. Step 5: Solve for x
    x = 4,637,201,409/45,366
  6. Step 6: Final answer
    x = 102,217.55

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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.