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Finding the Third Proportional to 43,095 and 91,407

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Solution

The third proportional to 43,095 and 91,407 is: 193,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,095 : 91,407 = 91,407 : x
  2. Step 2: Convert to fraction form
    43,095/91,407 = 91,407/x
  3. Step 3: Cross multiply
    43,095x = 91,407 × 91,407
  4. Step 4: Simplify right side
    43,095x = 8,355,239,649
  5. Step 5: Solve for x
    x = 8,355,239,649/43,095
  6. Step 6: Final answer
    x = 193,879.56

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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.