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Finding the Third Proportional to 108,082 and 173,653

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Solution

The third proportional to 108,082 and 173,653 is: 279,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082 : 173,653 = 173,653 : x
  2. Step 2: Convert to fraction form
    108,082/173,653 = 173,653/x
  3. Step 3: Cross multiply
    108,082x = 173,653 × 173,653
  4. Step 4: Simplify right side
    108,082x = 30,155,364,409
  5. Step 5: Solve for x
    x = 30,155,364,409/108,082
  6. Step 6: Final answer
    x = 279,004.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.