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Finding the Third Proportional to 119,874.94 and 180,119.95

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Solution

The third proportional to 119,874.94 and 180,119.95 is: 270,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,874.94 : 180,119.95 = 180,119.95 : x
  2. Step 2: Convert to fraction form
    119,874.94/180,119.95 = 180,119.95/x
  3. Step 3: Cross multiply
    119,874.94x = 180,119.95 × 180,119.95
  4. Step 4: Simplify right side
    119,874.94x = 32,443,197,513.75
  5. Step 5: Solve for x
    x = 32,443,197,513.75/119,874.94
  6. Step 6: Final answer
    x = 270,642.04

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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.