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Finding the Third Proportional to 71,323 and 111,073

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Solution

The third proportional to 71,323 and 111,073 is: 172,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323 : 111,073 = 111,073 : x
  2. Step 2: Convert to fraction form
    71,323/111,073 = 111,073/x
  3. Step 3: Cross multiply
    71,323x = 111,073 × 111,073
  4. Step 4: Simplify right side
    71,323x = 12,337,211,329
  5. Step 5: Solve for x
    x = 12,337,211,329/71,323
  6. Step 6: Final answer
    x = 172,976.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.