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Finding the Third Proportional to 72,326 and 148,174.50

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Solution

The third proportional to 72,326 and 148,174.50 is: 303,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326 : 148,174.50 = 148,174.50 : x
  2. Step 2: Convert to fraction form
    72,326/148,174.50 = 148,174.50/x
  3. Step 3: Cross multiply
    72,326x = 148,174.50 × 148,174.50
  4. Step 4: Simplify right side
    72,326x = 21,955,682,450.25
  5. Step 5: Solve for x
    x = 21,955,682,450.25/72,326
  6. Step 6: Final answer
    x = 303,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.