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Finding the Third Proportional to 131,908 and 184,518

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Solution

The third proportional to 131,908 and 184,518 is: 258,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,908 : 184,518 = 184,518 : x
  2. Step 2: Convert to fraction form
    131,908/184,518 = 184,518/x
  3. Step 3: Cross multiply
    131,908x = 184,518 × 184,518
  4. Step 4: Simplify right side
    131,908x = 34,046,892,324
  5. Step 5: Solve for x
    x = 34,046,892,324/131,908
  6. Step 6: Final answer
    x = 258,110.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.