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Finding the Third Proportional to 47,165.50 and 102,755

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Solution

The third proportional to 47,165.50 and 102,755 is: 223,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,165.50 : 102,755 = 102,755 : x
  2. Step 2: Convert to fraction form
    47,165.50/102,755 = 102,755/x
  3. Step 3: Cross multiply
    47,165.50x = 102,755 × 102,755
  4. Step 4: Simplify right side
    47,165.50x = 10,558,590,025
  5. Step 5: Solve for x
    x = 10,558,590,025/47,165.50
  6. Step 6: Final answer
    x = 223,862.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.