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Finding the Third Proportional to 43,412 and 92,155

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Solution

The third proportional to 43,412 and 92,155 is: 195,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412 : 92,155 = 92,155 : x
  2. Step 2: Convert to fraction form
    43,412/92,155 = 92,155/x
  3. Step 3: Cross multiply
    43,412x = 92,155 × 92,155
  4. Step 4: Simplify right side
    43,412x = 8,492,544,025
  5. Step 5: Solve for x
    x = 8,492,544,025/43,412
  6. Step 6: Final answer
    x = 195,626.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.