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Finding the Third Proportional to 81,370.50 and 176,274

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Solution

The third proportional to 81,370.50 and 176,274 is: 381,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,370.50 : 176,274 = 176,274 : x
  2. Step 2: Convert to fraction form
    81,370.50/176,274 = 176,274/x
  3. Step 3: Cross multiply
    81,370.50x = 176,274 × 176,274
  4. Step 4: Simplify right side
    81,370.50x = 31,072,523,076
  5. Step 5: Solve for x
    x = 31,072,523,076/81,370.50
  6. Step 6: Final answer
    x = 381,864.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.