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Finding the Third Proportional to 67,530 and 104,829

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Solution

The third proportional to 67,530 and 104,829 is: 162,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,530 : 104,829 = 104,829 : x
  2. Step 2: Convert to fraction form
    67,530/104,829 = 104,829/x
  3. Step 3: Cross multiply
    67,530x = 104,829 × 104,829
  4. Step 4: Simplify right side
    67,530x = 10,989,119,241
  5. Step 5: Solve for x
    x = 10,989,119,241/67,530
  6. Step 6: Final answer
    x = 162,729.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.