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Finding the Third Proportional to 71,850.94 and 108,770.34

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Solution

The third proportional to 71,850.94 and 108,770.34 is: 164,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.94 : 108,770.34 = 108,770.34 : x
  2. Step 2: Convert to fraction form
    71,850.94/108,770.34 = 108,770.34/x
  3. Step 3: Cross multiply
    71,850.94x = 108,770.34 × 108,770.34
  4. Step 4: Simplify right side
    71,850.94x = 11,830,987,679.49
  5. Step 5: Solve for x
    x = 11,830,987,679.49/71,850.94
  6. Step 6: Final answer
    x = 164,660.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.