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Finding the Third Proportional to 124,494 and 178,965

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Solution

The third proportional to 124,494 and 178,965 is: 257,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,494 : 178,965 = 178,965 : x
  2. Step 2: Convert to fraction form
    124,494/178,965 = 178,965/x
  3. Step 3: Cross multiply
    124,494x = 178,965 × 178,965
  4. Step 4: Simplify right side
    124,494x = 32,028,471,225
  5. Step 5: Solve for x
    x = 32,028,471,225/124,494
  6. Step 6: Final answer
    x = 257,269.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.