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Finding the Third Proportional to 43,569 and 67,050

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Solution

The third proportional to 43,569 and 67,050 is: 103,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,569 : 67,050 = 67,050 : x
  2. Step 2: Convert to fraction form
    43,569/67,050 = 67,050/x
  3. Step 3: Cross multiply
    43,569x = 67,050 × 67,050
  4. Step 4: Simplify right side
    43,569x = 4,495,702,500
  5. Step 5: Solve for x
    x = 4,495,702,500/43,569
  6. Step 6: Final answer
    x = 103,185.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.