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Finding the Third Proportional to 81,394 and 178,100

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Solution

The third proportional to 81,394 and 178,100 is: 389,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394 : 178,100 = 178,100 : x
  2. Step 2: Convert to fraction form
    81,394/178,100 = 178,100/x
  3. Step 3: Cross multiply
    81,394x = 178,100 × 178,100
  4. Step 4: Simplify right side
    81,394x = 31,719,610,000
  5. Step 5: Solve for x
    x = 31,719,610,000/81,394
  6. Step 6: Final answer
    x = 389,704.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.