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Finding the Third Proportional to 143,493.75 and 181,945.13

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Solution

The third proportional to 143,493.75 and 181,945.13 is: 230,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,493.75 : 181,945.13 = 181,945.13 : x
  2. Step 2: Convert to fraction form
    143,493.75/181,945.13 = 181,945.13/x
  3. Step 3: Cross multiply
    143,493.75x = 181,945.13 × 181,945.13
  4. Step 4: Simplify right side
    143,493.75x = 33,104,028,511.27
  5. Step 5: Solve for x
    x = 33,104,028,511.27/143,493.75
  6. Step 6: Final answer
    x = 230,700.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.