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Finding the Third Proportional to 79,326 and 172,476

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Solution

The third proportional to 79,326 and 172,476 is: 375,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,326 : 172,476 = 172,476 : x
  2. Step 2: Convert to fraction form
    79,326/172,476 = 172,476/x
  3. Step 3: Cross multiply
    79,326x = 172,476 × 172,476
  4. Step 4: Simplify right side
    79,326x = 29,747,970,576
  5. Step 5: Solve for x
    x = 29,747,970,576/79,326
  6. Step 6: Final answer
    x = 375,009.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.