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Finding the Third Proportional to 129,804 and 189,600

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Solution

The third proportional to 129,804 and 189,600 is: 276,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,804 : 189,600 = 189,600 : x
  2. Step 2: Convert to fraction form
    129,804/189,600 = 189,600/x
  3. Step 3: Cross multiply
    129,804x = 189,600 × 189,600
  4. Step 4: Simplify right side
    129,804x = 35,948,160,000
  5. Step 5: Solve for x
    x = 35,948,160,000/129,804
  6. Step 6: Final answer
    x = 276,941.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.