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Finding the Third Proportional to 120,908 and 184,037

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Solution

The third proportional to 120,908 and 184,037 is: 280,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908 : 184,037 = 184,037 : x
  2. Step 2: Convert to fraction form
    120,908/184,037 = 184,037/x
  3. Step 3: Cross multiply
    120,908x = 184,037 × 184,037
  4. Step 4: Simplify right side
    120,908x = 33,869,617,369
  5. Step 5: Solve for x
    x = 33,869,617,369/120,908
  6. Step 6: Final answer
    x = 280,127.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.