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Finding the Third Proportional to 43,496 and 92,687

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Solution

The third proportional to 43,496 and 92,687 is: 197,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,496 : 92,687 = 92,687 : x
  2. Step 2: Convert to fraction form
    43,496/92,687 = 92,687/x
  3. Step 3: Cross multiply
    43,496x = 92,687 × 92,687
  4. Step 4: Simplify right side
    43,496x = 8,590,879,969
  5. Step 5: Solve for x
    x = 8,590,879,969/43,496
  6. Step 6: Final answer
    x = 197,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.