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Finding the Third Proportional to 43,639 and 67,159

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Solution

The third proportional to 43,639 and 67,159 is: 103,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,639 : 67,159 = 67,159 : x
  2. Step 2: Convert to fraction form
    43,639/67,159 = 67,159/x
  3. Step 3: Cross multiply
    43,639x = 67,159 × 67,159
  4. Step 4: Simplify right side
    43,639x = 4,510,331,281
  5. Step 5: Solve for x
    x = 4,510,331,281/43,639
  6. Step 6: Final answer
    x = 103,355.51

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Why These Related Problems?

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