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Finding the Third Proportional to 79,919.50 and 119,332

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Solution

The third proportional to 79,919.50 and 119,332 is: 178,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,919.50 : 119,332 = 119,332 : x
  2. Step 2: Convert to fraction form
    79,919.50/119,332 = 119,332/x
  3. Step 3: Cross multiply
    79,919.50x = 119,332 × 119,332
  4. Step 4: Simplify right side
    79,919.50x = 14,240,126,224
  5. Step 5: Solve for x
    x = 14,240,126,224/79,919.50
  6. Step 6: Final answer
    x = 178,180.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.