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Finding the Third Proportional to 125,786.25 and 184,669.88

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Solution

The third proportional to 125,786.25 and 184,669.88 is: 271,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,786.25 : 184,669.88 = 184,669.88 : x
  2. Step 2: Convert to fraction form
    125,786.25/184,669.88 = 184,669.88/x
  3. Step 3: Cross multiply
    125,786.25x = 184,669.88 × 184,669.88
  4. Step 4: Simplify right side
    125,786.25x = 34,102,962,732.52
  5. Step 5: Solve for x
    x = 34,102,962,732.52/125,786.25
  6. Step 6: Final answer
    x = 271,118.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.