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Finding the Third Proportional to 65,590.50 and 100,287.38

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Solution

The third proportional to 65,590.50 and 100,287.38 is: 153,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,590.50 : 100,287.38 = 100,287.38 : x
  2. Step 2: Convert to fraction form
    65,590.50/100,287.38 = 100,287.38/x
  3. Step 3: Cross multiply
    65,590.50x = 100,287.38 × 100,287.38
  4. Step 4: Simplify right side
    65,590.50x = 10,057,557,584.39
  5. Step 5: Solve for x
    x = 10,057,557,584.39/65,590.50
  6. Step 6: Final answer
    x = 153,338.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.