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Finding the Third Proportional to 47,973 and 67,103

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Solution

The third proportional to 47,973 and 67,103 is: 93,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,973 : 67,103 = 67,103 : x
  2. Step 2: Convert to fraction form
    47,973/67,103 = 67,103/x
  3. Step 3: Cross multiply
    47,973x = 67,103 × 67,103
  4. Step 4: Simplify right side
    47,973x = 4,502,812,609
  5. Step 5: Solve for x
    x = 4,502,812,609/47,973
  6. Step 6: Final answer
    x = 93,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.