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Finding the Third Proportional to 79,953 and 162,651

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Solution

The third proportional to 79,953 and 162,651 is: 330,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,953 : 162,651 = 162,651 : x
  2. Step 2: Convert to fraction form
    79,953/162,651 = 162,651/x
  3. Step 3: Cross multiply
    79,953x = 162,651 × 162,651
  4. Step 4: Simplify right side
    79,953x = 26,455,347,801
  5. Step 5: Solve for x
    x = 26,455,347,801/79,953
  6. Step 6: Final answer
    x = 330,886.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.