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Finding the Third Proportional to 43,303 and 95,111

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Solution

The third proportional to 43,303 and 95,111 is: 208,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,303 : 95,111 = 95,111 : x
  2. Step 2: Convert to fraction form
    43,303/95,111 = 95,111/x
  3. Step 3: Cross multiply
    43,303x = 95,111 × 95,111
  4. Step 4: Simplify right side
    43,303x = 9,046,102,321
  5. Step 5: Solve for x
    x = 9,046,102,321/43,303
  6. Step 6: Final answer
    x = 208,902.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.