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Finding the Third Proportional to 79,782 and 167,820

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Solution

The third proportional to 79,782 and 167,820 is: 353,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,782 : 167,820 = 167,820 : x
  2. Step 2: Convert to fraction form
    79,782/167,820 = 167,820/x
  3. Step 3: Cross multiply
    79,782x = 167,820 × 167,820
  4. Step 4: Simplify right side
    79,782x = 28,163,552,400
  5. Step 5: Solve for x
    x = 28,163,552,400/79,782
  6. Step 6: Final answer
    x = 353,006.35

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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.