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Finding the Third Proportional to 57,251.06 and 84,165.94

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Solution

The third proportional to 57,251.06 and 84,165.94 is: 123,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,251.06 : 84,165.94 = 84,165.94 : x
  2. Step 2: Convert to fraction form
    57,251.06/84,165.94 = 84,165.94/x
  3. Step 3: Cross multiply
    57,251.06x = 84,165.94 × 84,165.94
  4. Step 4: Simplify right side
    57,251.06x = 7,083,905,035.25
  5. Step 5: Solve for x
    x = 7,083,905,035.25/57,251.06
  6. Step 6: Final answer
    x = 123,734.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.