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Finding the Third Proportional to 100,480.50 and 134,037

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Solution

The third proportional to 100,480.50 and 134,037 is: 178,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,480.50 : 134,037 = 134,037 : x
  2. Step 2: Convert to fraction form
    100,480.50/134,037 = 134,037/x
  3. Step 3: Cross multiply
    100,480.50x = 134,037 × 134,037
  4. Step 4: Simplify right side
    100,480.50x = 17,965,917,369
  5. Step 5: Solve for x
    x = 17,965,917,369/100,480.50
  6. Step 6: Final answer
    x = 178,800.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.