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Finding the Third Proportional to 71,371 and 93,873

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Solution

The third proportional to 71,371 and 93,873 is: 123,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371 : 93,873 = 93,873 : x
  2. Step 2: Convert to fraction form
    71,371/93,873 = 93,873/x
  3. Step 3: Cross multiply
    71,371x = 93,873 × 93,873
  4. Step 4: Simplify right side
    71,371x = 8,812,140,129
  5. Step 5: Solve for x
    x = 8,812,140,129/71,371
  6. Step 6: Final answer
    x = 123,469.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.