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Finding the Third Proportional to 79,973 and 120,162

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Solution

The third proportional to 79,973 and 120,162 is: 180,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,973 : 120,162 = 120,162 : x
  2. Step 2: Convert to fraction form
    79,973/120,162 = 120,162/x
  3. Step 3: Cross multiply
    79,973x = 120,162 × 120,162
  4. Step 4: Simplify right side
    79,973x = 14,438,906,244
  5. Step 5: Solve for x
    x = 14,438,906,244/79,973
  6. Step 6: Final answer
    x = 180,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.