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Finding the Third Proportional to 95,715 and 209,739

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Solution

The third proportional to 95,715 and 209,739 is: 459,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,715 : 209,739 = 209,739 : x
  2. Step 2: Convert to fraction form
    95,715/209,739 = 209,739/x
  3. Step 3: Cross multiply
    95,715x = 209,739 × 209,739
  4. Step 4: Simplify right side
    95,715x = 43,990,448,121
  5. Step 5: Solve for x
    x = 43,990,448,121/95,715
  6. Step 6: Final answer
    x = 459,598.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.