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Finding the Third Proportional to 57,146 and 87,662

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Solution

The third proportional to 57,146 and 87,662 is: 134,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146 : 87,662 = 87,662 : x
  2. Step 2: Convert to fraction form
    57,146/87,662 = 87,662/x
  3. Step 3: Cross multiply
    57,146x = 87,662 × 87,662
  4. Step 4: Simplify right side
    57,146x = 7,684,626,244
  5. Step 5: Solve for x
    x = 7,684,626,244/57,146
  6. Step 6: Final answer
    x = 134,473.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.