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Finding the Third Proportional to 72,326 and 148,177

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Solution

The third proportional to 72,326 and 148,177 is: 303,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326 : 148,177 = 148,177 : x
  2. Step 2: Convert to fraction form
    72,326/148,177 = 148,177/x
  3. Step 3: Cross multiply
    72,326x = 148,177 × 148,177
  4. Step 4: Simplify right side
    72,326x = 21,956,423,329
  5. Step 5: Solve for x
    x = 21,956,423,329/72,326
  6. Step 6: Final answer
    x = 303,575.80

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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.