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Finding the Third Proportional to 88,042.50 and 183,381

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Solution

The third proportional to 88,042.50 and 183,381 is: 381,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,042.50 : 183,381 = 183,381 : x
  2. Step 2: Convert to fraction form
    88,042.50/183,381 = 183,381/x
  3. Step 3: Cross multiply
    88,042.50x = 183,381 × 183,381
  4. Step 4: Simplify right side
    88,042.50x = 33,628,591,161
  5. Step 5: Solve for x
    x = 33,628,591,161/88,042.50
  6. Step 6: Final answer
    x = 381,958.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.