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Finding the Third Proportional to 72,254 and 113,493

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Solution

The third proportional to 72,254 and 113,493 is: 178,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,254 : 113,493 = 113,493 : x
  2. Step 2: Convert to fraction form
    72,254/113,493 = 113,493/x
  3. Step 3: Cross multiply
    72,254x = 113,493 × 113,493
  4. Step 4: Simplify right side
    72,254x = 12,880,661,049
  5. Step 5: Solve for x
    x = 12,880,661,049/72,254
  6. Step 6: Final answer
    x = 178,269.18

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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.