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Finding the Third Proportional to 85,414 and 133,604

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Solution

The third proportional to 85,414 and 133,604 is: 208,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414 : 133,604 = 133,604 : x
  2. Step 2: Convert to fraction form
    85,414/133,604 = 133,604/x
  3. Step 3: Cross multiply
    85,414x = 133,604 × 133,604
  4. Step 4: Simplify right side
    85,414x = 17,850,028,816
  5. Step 5: Solve for x
    x = 17,850,028,816/85,414
  6. Step 6: Final answer
    x = 208,982.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.