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Finding the Third Proportional to 125,092.31 and 184,329.84

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Solution

The third proportional to 125,092.31 and 184,329.84 is: 271,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,092.31 : 184,329.84 = 184,329.84 : x
  2. Step 2: Convert to fraction form
    125,092.31/184,329.84 = 184,329.84/x
  3. Step 3: Cross multiply
    125,092.31x = 184,329.84 × 184,329.84
  4. Step 4: Simplify right side
    125,092.31x = 33,977,491,296.90
  5. Step 5: Solve for x
    x = 33,977,491,296.90/125,092.31
  6. Step 6: Final answer
    x = 271,619.34

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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.