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Finding the Third Proportional to 79,168 and 119,508

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Solution

The third proportional to 79,168 and 119,508 is: 180,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,168 : 119,508 = 119,508 : x
  2. Step 2: Convert to fraction form
    79,168/119,508 = 119,508/x
  3. Step 3: Cross multiply
    79,168x = 119,508 × 119,508
  4. Step 4: Simplify right side
    79,168x = 14,282,162,064
  5. Step 5: Solve for x
    x = 14,282,162,064/79,168
  6. Step 6: Final answer
    x = 180,403.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.