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Finding the Third Proportional to 43,659 and 95,313

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Solution

The third proportional to 43,659 and 95,313 is: 208,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,659 : 95,313 = 95,313 : x
  2. Step 2: Convert to fraction form
    43,659/95,313 = 95,313/x
  3. Step 3: Cross multiply
    43,659x = 95,313 × 95,313
  4. Step 4: Simplify right side
    43,659x = 9,084,567,969
  5. Step 5: Solve for x
    x = 9,084,567,969/43,659
  6. Step 6: Final answer
    x = 208,080.07

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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.