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Finding the Third Proportional to 46,747.50 and 102,063

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Solution

The third proportional to 46,747.50 and 102,063 is: 222,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.50 : 102,063 = 102,063 : x
  2. Step 2: Convert to fraction form
    46,747.50/102,063 = 102,063/x
  3. Step 3: Cross multiply
    46,747.50x = 102,063 × 102,063
  4. Step 4: Simplify right side
    46,747.50x = 10,416,855,969
  5. Step 5: Solve for x
    x = 10,416,855,969/46,747.50
  6. Step 6: Final answer
    x = 222,832.36

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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.