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Finding the Third Proportional to 79,149 and 173,309

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Solution

The third proportional to 79,149 and 173,309 is: 379,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,149 : 173,309 = 173,309 : x
  2. Step 2: Convert to fraction form
    79,149/173,309 = 173,309/x
  3. Step 3: Cross multiply
    79,149x = 173,309 × 173,309
  4. Step 4: Simplify right side
    79,149x = 30,036,009,481
  5. Step 5: Solve for x
    x = 30,036,009,481/79,149
  6. Step 6: Final answer
    x = 379,486.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.