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Finding the Third Proportional to 39,105 and 94,509

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Solution

The third proportional to 39,105 and 94,509 is: 228,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105 : 94,509 = 94,509 : x
  2. Step 2: Convert to fraction form
    39,105/94,509 = 94,509/x
  3. Step 3: Cross multiply
    39,105x = 94,509 × 94,509
  4. Step 4: Simplify right side
    39,105x = 8,931,951,081
  5. Step 5: Solve for x
    x = 8,931,951,081/39,105
  6. Step 6: Final answer
    x = 228,409.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.