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Finding the Third Proportional to 43,307 and 95,119

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Solution

The third proportional to 43,307 and 95,119 is: 208,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,307 : 95,119 = 95,119 : x
  2. Step 2: Convert to fraction form
    43,307/95,119 = 95,119/x
  3. Step 3: Cross multiply
    43,307x = 95,119 × 95,119
  4. Step 4: Simplify right side
    43,307x = 9,047,624,161
  5. Step 5: Solve for x
    x = 9,047,624,161/43,307
  6. Step 6: Final answer
    x = 208,918.28

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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.