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Finding the Third Proportional to 43,694 and 95,564

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Solution

The third proportional to 43,694 and 95,564 is: 209,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,694 : 95,564 = 95,564 : x
  2. Step 2: Convert to fraction form
    43,694/95,564 = 95,564/x
  3. Step 3: Cross multiply
    43,694x = 95,564 × 95,564
  4. Step 4: Simplify right side
    43,694x = 9,132,478,096
  5. Step 5: Solve for x
    x = 9,132,478,096/43,694
  6. Step 6: Final answer
    x = 209,009.89

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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.