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Finding the Third Proportional to 81,337.50 and 176,253

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Solution

The third proportional to 81,337.50 and 176,253 is: 381,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,337.50 : 176,253 = 176,253 : x
  2. Step 2: Convert to fraction form
    81,337.50/176,253 = 176,253/x
  3. Step 3: Cross multiply
    81,337.50x = 176,253 × 176,253
  4. Step 4: Simplify right side
    81,337.50x = 31,065,120,009
  5. Step 5: Solve for x
    x = 31,065,120,009/81,337.50
  6. Step 6: Final answer
    x = 381,928.63

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Why These Related Problems?

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