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Finding the Third Proportional to 125,649 and 184,707

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Solution

The third proportional to 125,649 and 184,707 is: 271,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,649 : 184,707 = 184,707 : x
  2. Step 2: Convert to fraction form
    125,649/184,707 = 184,707/x
  3. Step 3: Cross multiply
    125,649x = 184,707 × 184,707
  4. Step 4: Simplify right side
    125,649x = 34,116,675,849
  5. Step 5: Solve for x
    x = 34,116,675,849/125,649
  6. Step 6: Final answer
    x = 271,523.66

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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.