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Finding the Third Proportional to 108,870.75 and 171,082.13

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Solution

The third proportional to 108,870.75 and 171,082.13 is: 268,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,870.75 : 171,082.13 = 171,082.13 : x
  2. Step 2: Convert to fraction form
    108,870.75/171,082.13 = 171,082.13/x
  3. Step 3: Cross multiply
    108,870.75x = 171,082.13 × 171,082.13
  4. Step 4: Simplify right side
    108,870.75x = 29,269,093,494.52
  5. Step 5: Solve for x
    x = 29,269,093,494.52/108,870.75
  6. Step 6: Final answer
    x = 268,842.58

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.