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Finding the Third Proportional to 79,222 and 172,106

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Solution

The third proportional to 79,222 and 172,106 is: 373,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,222 : 172,106 = 172,106 : x
  2. Step 2: Convert to fraction form
    79,222/172,106 = 172,106/x
  3. Step 3: Cross multiply
    79,222x = 172,106 × 172,106
  4. Step 4: Simplify right side
    79,222x = 29,620,475,236
  5. Step 5: Solve for x
    x = 29,620,475,236/79,222
  6. Step 6: Final answer
    x = 373,892.04

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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.