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Finding the Third Proportional to 47,204.50 and 92,018

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Solution

The third proportional to 47,204.50 and 92,018 is: 179,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.50 : 92,018 = 92,018 : x
  2. Step 2: Convert to fraction form
    47,204.50/92,018 = 92,018/x
  3. Step 3: Cross multiply
    47,204.50x = 92,018 × 92,018
  4. Step 4: Simplify right side
    47,204.50x = 8,467,312,324
  5. Step 5: Solve for x
    x = 8,467,312,324/47,204.50
  6. Step 6: Final answer
    x = 179,375.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.