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Finding the Third Proportional to 72,452.25 and 146,950.94

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Solution

The third proportional to 72,452.25 and 146,950.94 is: 298,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,452.25 : 146,950.94 = 146,950.94 : x
  2. Step 2: Convert to fraction form
    72,452.25/146,950.94 = 146,950.94/x
  3. Step 3: Cross multiply
    72,452.25x = 146,950.94 × 146,950.94
  4. Step 4: Simplify right side
    72,452.25x = 21,594,578,032.13
  5. Step 5: Solve for x
    x = 21,594,578,032.13/72,452.25
  6. Step 6: Final answer
    x = 298,052.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.