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Finding the Third Proportional to 95,702 and 208,624

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Solution

The third proportional to 95,702 and 208,624 is: 454,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702 : 208,624 = 208,624 : x
  2. Step 2: Convert to fraction form
    95,702/208,624 = 208,624/x
  3. Step 3: Cross multiply
    95,702x = 208,624 × 208,624
  4. Step 4: Simplify right side
    95,702x = 43,523,973,376
  5. Step 5: Solve for x
    x = 43,523,973,376/95,702
  6. Step 6: Final answer
    x = 454,786.46

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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.