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Finding the Third Proportional to 43,729 and 67,523

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Solution

The third proportional to 43,729 and 67,523 is: 104,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729 : 67,523 = 67,523 : x
  2. Step 2: Convert to fraction form
    43,729/67,523 = 67,523/x
  3. Step 3: Cross multiply
    43,729x = 67,523 × 67,523
  4. Step 4: Simplify right side
    43,729x = 4,559,355,529
  5. Step 5: Solve for x
    x = 4,559,355,529/43,729
  6. Step 6: Final answer
    x = 104,263.89

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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.