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Finding the Third Proportional to 43,410 and 94,107

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Solution

The third proportional to 43,410 and 94,107 is: 204,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,410 : 94,107 = 94,107 : x
  2. Step 2: Convert to fraction form
    43,410/94,107 = 94,107/x
  3. Step 3: Cross multiply
    43,410x = 94,107 × 94,107
  4. Step 4: Simplify right side
    43,410x = 8,856,127,449
  5. Step 5: Solve for x
    x = 8,856,127,449/43,410
  6. Step 6: Final answer
    x = 204,011.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.