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Finding the Third Proportional to 79,884 and 168,048

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Solution

The third proportional to 79,884 and 168,048 is: 353,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,884 : 168,048 = 168,048 : x
  2. Step 2: Convert to fraction form
    79,884/168,048 = 168,048/x
  3. Step 3: Cross multiply
    79,884x = 168,048 × 168,048
  4. Step 4: Simplify right side
    79,884x = 28,240,130,304
  5. Step 5: Solve for x
    x = 28,240,130,304/79,884
  6. Step 6: Final answer
    x = 353,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.