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Finding the Third Proportional to 87,475.78 and 183,762.84

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Solution

The third proportional to 87,475.78 and 183,762.84 is: 386,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,475.78 : 183,762.84 = 183,762.84 : x
  2. Step 2: Convert to fraction form
    87,475.78/183,762.84 = 183,762.84/x
  3. Step 3: Cross multiply
    87,475.78x = 183,762.84 × 183,762.84
  4. Step 4: Simplify right side
    87,475.78x = 33,768,782,743.09
  5. Step 5: Solve for x
    x = 33,768,782,743.09/87,475.78
  6. Step 6: Final answer
    x = 386,035.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.