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Finding the Third Proportional to 125,500 and 184,062

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Solution

The third proportional to 125,500 and 184,062 is: 269,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500 : 184,062 = 184,062 : x
  2. Step 2: Convert to fraction form
    125,500/184,062 = 184,062/x
  3. Step 3: Cross multiply
    125,500x = 184,062 × 184,062
  4. Step 4: Simplify right side
    125,500x = 33,878,819,844
  5. Step 5: Solve for x
    x = 33,878,819,844/125,500
  6. Step 6: Final answer
    x = 269,950.76

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