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Finding the Third Proportional to 47,262.50 and 103,843

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Solution

The third proportional to 47,262.50 and 103,843 is: 228,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,262.50 : 103,843 = 103,843 : x
  2. Step 2: Convert to fraction form
    47,262.50/103,843 = 103,843/x
  3. Step 3: Cross multiply
    47,262.50x = 103,843 × 103,843
  4. Step 4: Simplify right side
    47,262.50x = 10,783,368,649
  5. Step 5: Solve for x
    x = 10,783,368,649/47,262.50
  6. Step 6: Final answer
    x = 228,159.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.