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Finding the Third Proportional to 72,176 and 103,966

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Solution

The third proportional to 72,176 and 103,966 is: 149,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176 : 103,966 = 103,966 : x
  2. Step 2: Convert to fraction form
    72,176/103,966 = 103,966/x
  3. Step 3: Cross multiply
    72,176x = 103,966 × 103,966
  4. Step 4: Simplify right side
    72,176x = 10,808,929,156
  5. Step 5: Solve for x
    x = 10,808,929,156/72,176
  6. Step 6: Final answer
    x = 149,757.94

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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.