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Finding the Third Proportional to 72,246.94 and 153,834.19

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Solution

The third proportional to 72,246.94 and 153,834.19 is: 327,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,246.94 : 153,834.19 = 153,834.19 : x
  2. Step 2: Convert to fraction form
    72,246.94/153,834.19 = 153,834.19/x
  3. Step 3: Cross multiply
    72,246.94x = 153,834.19 × 153,834.19
  4. Step 4: Simplify right side
    72,246.94x = 23,664,957,243.79
  5. Step 5: Solve for x
    x = 23,664,957,243.79/72,246.94
  6. Step 6: Final answer
    x = 327,556.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.