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Finding the Third Proportional to 124,472 and 178,932

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Solution

The third proportional to 124,472 and 178,932 is: 257,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,472 : 178,932 = 178,932 : x
  2. Step 2: Convert to fraction form
    124,472/178,932 = 178,932/x
  3. Step 3: Cross multiply
    124,472x = 178,932 × 178,932
  4. Step 4: Simplify right side
    124,472x = 32,016,660,624
  5. Step 5: Solve for x
    x = 32,016,660,624/124,472
  6. Step 6: Final answer
    x = 257,219.78

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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.