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Finding the Third Proportional to 47,128.50 and 102,555

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Solution

The third proportional to 47,128.50 and 102,555 is: 223,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128.50 : 102,555 = 102,555 : x
  2. Step 2: Convert to fraction form
    47,128.50/102,555 = 102,555/x
  3. Step 3: Cross multiply
    47,128.50x = 102,555 × 102,555
  4. Step 4: Simplify right side
    47,128.50x = 10,517,528,025
  5. Step 5: Solve for x
    x = 10,517,528,025/47,128.50
  6. Step 6: Final answer
    x = 223,167.04

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