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Finding the Third Proportional to 87,824.25 and 130,764.38

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Solution

The third proportional to 87,824.25 and 130,764.38 is: 194,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,824.25 : 130,764.38 = 130,764.38 : x
  2. Step 2: Convert to fraction form
    87,824.25/130,764.38 = 130,764.38/x
  3. Step 3: Cross multiply
    87,824.25x = 130,764.38 × 130,764.38
  4. Step 4: Simplify right side
    87,824.25x = 17,099,321,769.14
  5. Step 5: Solve for x
    x = 17,099,321,769.14/87,824.25
  6. Step 6: Final answer
    x = 194,699.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.