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Finding the Third Proportional to 79,176 and 118,867

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Solution

The third proportional to 79,176 and 118,867 is: 178,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,176 : 118,867 = 118,867 : x
  2. Step 2: Convert to fraction form
    79,176/118,867 = 118,867/x
  3. Step 3: Cross multiply
    79,176x = 118,867 × 118,867
  4. Step 4: Simplify right side
    79,176x = 14,129,363,689
  5. Step 5: Solve for x
    x = 14,129,363,689/79,176
  6. Step 6: Final answer
    x = 178,455.13

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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.