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Finding the Third Proportional to 39,106 and 92,224

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Solution

The third proportional to 39,106 and 92,224 is: 217,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,106 : 92,224 = 92,224 : x
  2. Step 2: Convert to fraction form
    39,106/92,224 = 92,224/x
  3. Step 3: Cross multiply
    39,106x = 92,224 × 92,224
  4. Step 4: Simplify right side
    39,106x = 8,505,266,176
  5. Step 5: Solve for x
    x = 8,505,266,176/39,106
  6. Step 6: Final answer
    x = 217,492.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.