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Finding the Third Proportional to 81,894 and 178,611

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Solution

The third proportional to 81,894 and 178,611 is: 389,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894 : 178,611 = 178,611 : x
  2. Step 2: Convert to fraction form
    81,894/178,611 = 178,611/x
  3. Step 3: Cross multiply
    81,894x = 178,611 × 178,611
  4. Step 4: Simplify right side
    81,894x = 31,901,889,321
  5. Step 5: Solve for x
    x = 31,901,889,321/81,894
  6. Step 6: Final answer
    x = 389,551.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.