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Finding the Third Proportional to 71,260 and 111,204

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Solution

The third proportional to 71,260 and 111,204 is: 173,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,260 : 111,204 = 111,204 : x
  2. Step 2: Convert to fraction form
    71,260/111,204 = 111,204/x
  3. Step 3: Cross multiply
    71,260x = 111,204 × 111,204
  4. Step 4: Simplify right side
    71,260x = 12,366,329,616
  5. Step 5: Solve for x
    x = 12,366,329,616/71,260
  6. Step 6: Final answer
    x = 173,538.16

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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.