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Finding the Third Proportional to 72,326 and 148,175

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Solution

The third proportional to 72,326 and 148,175 is: 303,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326 : 148,175 = 148,175 : x
  2. Step 2: Convert to fraction form
    72,326/148,175 = 148,175/x
  3. Step 3: Cross multiply
    72,326x = 148,175 × 148,175
  4. Step 4: Simplify right side
    72,326x = 21,955,830,625
  5. Step 5: Solve for x
    x = 21,955,830,625/72,326
  6. Step 6: Final answer
    x = 303,567.61

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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.