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Finding the Third Proportional to 43,640 and 95,057

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Solution

The third proportional to 43,640 and 95,057 is: 207,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,640 : 95,057 = 95,057 : x
  2. Step 2: Convert to fraction form
    43,640/95,057 = 95,057/x
  3. Step 3: Cross multiply
    43,640x = 95,057 × 95,057
  4. Step 4: Simplify right side
    43,640x = 9,035,833,249
  5. Step 5: Solve for x
    x = 9,035,833,249/43,640
  6. Step 6: Final answer
    x = 207,053.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.