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Finding the Third Proportional to 47,143.50 and 103,035

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Solution

The third proportional to 47,143.50 and 103,035 is: 225,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,143.50 : 103,035 = 103,035 : x
  2. Step 2: Convert to fraction form
    47,143.50/103,035 = 103,035/x
  3. Step 3: Cross multiply
    47,143.50x = 103,035 × 103,035
  4. Step 4: Simplify right side
    47,143.50x = 10,616,211,225
  5. Step 5: Solve for x
    x = 10,616,211,225/47,143.50
  6. Step 6: Final answer
    x = 225,189.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.