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Finding the Third Proportional to 79,873 and 170,426

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Solution

The third proportional to 79,873 and 170,426 is: 363,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,873 : 170,426 = 170,426 : x
  2. Step 2: Convert to fraction form
    79,873/170,426 = 170,426/x
  3. Step 3: Cross multiply
    79,873x = 170,426 × 170,426
  4. Step 4: Simplify right side
    79,873x = 29,045,021,476
  5. Step 5: Solve for x
    x = 29,045,021,476/79,873
  6. Step 6: Final answer
    x = 363,640.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.