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Finding the Third Proportional to 119,904 and 180,165

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Solution

The third proportional to 119,904 and 180,165 is: 270,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 180,165 = 180,165 : x
  2. Step 2: Convert to fraction form
    119,904/180,165 = 180,165/x
  3. Step 3: Cross multiply
    119,904x = 180,165 × 180,165
  4. Step 4: Simplify right side
    119,904x = 32,459,427,225
  5. Step 5: Solve for x
    x = 32,459,427,225/119,904
  6. Step 6: Final answer
    x = 270,711.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.