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Finding the Third Proportional to 94,673 and 142,253

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Solution

The third proportional to 94,673 and 142,253 is: 213,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,673 : 142,253 = 142,253 : x
  2. Step 2: Convert to fraction form
    94,673/142,253 = 142,253/x
  3. Step 3: Cross multiply
    94,673x = 142,253 × 142,253
  4. Step 4: Simplify right side
    94,673x = 20,235,916,009
  5. Step 5: Solve for x
    x = 20,235,916,009/94,673
  6. Step 6: Final answer
    x = 213,745.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.