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Finding the Third Proportional to 41,748 and 92,500

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Solution

The third proportional to 41,748 and 92,500 is: 204,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748 : 92,500 = 92,500 : x
  2. Step 2: Convert to fraction form
    41,748/92,500 = 92,500/x
  3. Step 3: Cross multiply
    41,748x = 92,500 × 92,500
  4. Step 4: Simplify right side
    41,748x = 8,556,250,000
  5. Step 5: Solve for x
    x = 8,556,250,000/41,748
  6. Step 6: Final answer
    x = 204,949.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.