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Finding the Third Proportional to 89,134 and 194,260

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Solution

The third proportional to 89,134 and 194,260 is: 423,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,134 : 194,260 = 194,260 : x
  2. Step 2: Convert to fraction form
    89,134/194,260 = 194,260/x
  3. Step 3: Cross multiply
    89,134x = 194,260 × 194,260
  4. Step 4: Simplify right side
    89,134x = 37,736,947,600
  5. Step 5: Solve for x
    x = 37,736,947,600/89,134
  6. Step 6: Final answer
    x = 423,373.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.