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Finding the Third Proportional to 95,790 and 208,160

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Solution

The third proportional to 95,790 and 208,160 is: 452,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,790 : 208,160 = 208,160 : x
  2. Step 2: Convert to fraction form
    95,790/208,160 = 208,160/x
  3. Step 3: Cross multiply
    95,790x = 208,160 × 208,160
  4. Step 4: Simplify right side
    95,790x = 43,330,585,600
  5. Step 5: Solve for x
    x = 43,330,585,600/95,790
  6. Step 6: Final answer
    x = 452,349.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.