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Finding the Third Proportional to 47,857.50 and 101,187

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Solution

The third proportional to 47,857.50 and 101,187 is: 213,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857.50 : 101,187 = 101,187 : x
  2. Step 2: Convert to fraction form
    47,857.50/101,187 = 101,187/x
  3. Step 3: Cross multiply
    47,857.50x = 101,187 × 101,187
  4. Step 4: Simplify right side
    47,857.50x = 10,238,808,969
  5. Step 5: Solve for x
    x = 10,238,808,969/47,857.50
  6. Step 6: Final answer
    x = 213,943.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.